diff --git a/northd/northd.c b/northd/northd.c
index 3eaa43f07..91a6e3f79 100644
--- a/northd/northd.c
+++ b/northd/northd.c
@@ -14648,6 +14648,8 @@ build_lrouter_out_snat_in_czone_flow(struct hmap *lflows,
                       ETH_ADDR_ARGS(mac));
         ds_put_format(&zone_actions, "eth.src = "ETH_ADDR_FMT"; ",
                       ETH_ADDR_ARGS(mac));
+    } else {
+        ds_put_format(match, " && (!ct.trk || !ct.rpl)");
     }
 
     ds_put_cstr(&zone_actions, REGBIT_DST_NAT_IP_LOCAL" = 0; ");
@@ -14706,6 +14708,8 @@ build_lrouter_out_snat_flow(struct hmap *lflows, struct ovn_datapath *od,
         if (distributed_nat) {
             ds_put_format(actions, "eth.src = "ETH_ADDR_FMT"; ",
                           ETH_ADDR_ARGS(mac));
+        } else {
+            ds_put_format(match, " && (!ct.trk || !ct.rpl)");
         }
     } else {
         /* Gateway router. */
diff --git a/tests/ovn-northd.at b/tests/ovn-northd.at
index 23dbe111f..ce3de2048 100644
--- a/tests/ovn-northd.at
+++ b/tests/ovn-northd.at
@@ -1100,7 +1100,7 @@ AT_CAPTURE_FILE([crflows])
 AT_CHECK([grep -e "lr_out_snat" drflows | sed 's/table=../table=??/' | sort], [0], [dnl
   table=??(lr_out_snat        ), priority=0    , match=(1), action=(next;)
   table=??(lr_out_snat        ), priority=120  , match=(nd_ns), action=(next;)
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && ip4.dst == $allowed_range), action=(ct_snat(172.16.1.1);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && ip4.dst == $allowed_range && (!ct.trk || !ct.rpl)), action=(ct_snat(172.16.1.1);)
 ])
 
 AT_CHECK([grep -e "lr_out_snat" crflows | sed 's/table=../table=??/' | sort], [0], [dnl
@@ -1130,7 +1130,7 @@ AT_CAPTURE_FILE([crflows2])
 AT_CHECK([grep -e "lr_out_snat" drflows2 | sed 's/table=../table=??/' | sort], [0], [dnl
   table=??(lr_out_snat        ), priority=0    , match=(1), action=(next;)
   table=??(lr_out_snat        ), priority=120  , match=(nd_ns), action=(next;)
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1")), action=(ct_snat(172.16.1.1);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.16.1.1);)
   table=??(lr_out_snat        ), priority=163  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && ip4.dst == $disallowed_range), action=(next;)
 ])
 
@@ -1159,7 +1159,7 @@ AT_CAPTURE_FILE([crflows2])
 AT_CHECK([grep -e "lr_out_snat" drflows3 | sed 's/table=../table=??/' | sort], [0], [dnl
   table=??(lr_out_snat        ), priority=0    , match=(1), action=(next;)
   table=??(lr_out_snat        ), priority=120  , match=(nd_ns), action=(next;)
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && ip4.dst == $allowed_range), action=(ct_snat(172.16.1.2);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && ip4.dst == $allowed_range && (!ct.trk || !ct.rpl)), action=(ct_snat(172.16.1.2);)
 ])
 
 AT_CHECK([grep -e "lr_out_snat" crflows3 | sed 's/table=../table=??/' | sort], [0], [dnl
@@ -1186,7 +1186,7 @@ AT_CAPTURE_FILE([crflows2])
 AT_CHECK([grep -e "lr_out_snat" drflows4 | sed 's/table=../table=??/' | sort], [0], [dnl
   table=??(lr_out_snat        ), priority=0    , match=(1), action=(next;)
   table=??(lr_out_snat        ), priority=120  , match=(nd_ns), action=(next;)
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1")), action=(ct_snat(172.16.1.2);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.16.1.2);)
   table=??(lr_out_snat        ), priority=163  , match=(ip && ip4.src == 50.0.0.11 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && ip4.dst == $disallowed_range), action=(next;)
 ])
 
@@ -5352,12 +5352,12 @@ AT_CHECK([grep "lr_out_post_undnat" lr0flows | sed 's/table=./table=?/' | sort],
 AT_CHECK([grep "lr_out_snat" lr0flows | sed 's/table=./table=?/' | sort], [0], [dnl
   table=? (lr_out_snat        ), priority=0    , match=(1), action=(next;)
   table=? (lr_out_snat        ), priority=120  , match=(nd_ns), action=(next;)
-  table=? (lr_out_snat        ), priority=153  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat_in_czone(172.168.0.10);)
-  table=? (lr_out_snat        ), priority=154  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.10);)
-  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat_in_czone(172.168.0.30);)
-  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat_in_czone(172.168.0.20);)
-  table=? (lr_out_snat        ), priority=162  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.30);)
-  table=? (lr_out_snat        ), priority=162  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.20);)
+  table=? (lr_out_snat        ), priority=153  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat_in_czone(172.168.0.10);)
+  table=? (lr_out_snat        ), priority=154  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl) && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.10);)
+  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat_in_czone(172.168.0.30);)
+  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat_in_czone(172.168.0.20);)
+  table=? (lr_out_snat        ), priority=162  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl) && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.30);)
+  table=? (lr_out_snat        ), priority=162  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl) && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.20);)
 ])
 
 # Separate zones for DGP
@@ -5400,9 +5400,9 @@ AT_CHECK([grep "lr_out_post_undnat" lr0flows | sed 's/table=./table=?/' | sort],
 AT_CHECK([grep "lr_out_snat" lr0flows | sed 's/table=./table=?/' | sort], [0], [dnl
   table=? (lr_out_snat        ), priority=0    , match=(1), action=(next;)
   table=? (lr_out_snat        ), priority=120  , match=(nd_ns), action=(next;)
-  table=? (lr_out_snat        ), priority=153  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat(172.168.0.10);)
-  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat(172.168.0.30);)
-  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat(172.168.0.20);)
+  table=? (lr_out_snat        ), priority=153  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.168.0.10);)
+  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.168.0.30);)
+  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.168.0.20);)
 ])
 
 # Associate load balancer to lr0
@@ -5482,12 +5482,12 @@ AT_CHECK([grep "lr_out_post_undnat" lr0flows | sed 's/table=./table=?/' | sort],
 AT_CHECK([grep "lr_out_snat" lr0flows | sed 's/table=./table=?/' | sort], [0], [dnl
   table=? (lr_out_snat        ), priority=0    , match=(1), action=(next;)
   table=? (lr_out_snat        ), priority=120  , match=(nd_ns), action=(next;)
-  table=? (lr_out_snat        ), priority=153  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat_in_czone(172.168.0.10);)
-  table=? (lr_out_snat        ), priority=154  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.10);)
-  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat_in_czone(172.168.0.30);)
-  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat_in_czone(172.168.0.20);)
-  table=? (lr_out_snat        ), priority=162  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.30);)
-  table=? (lr_out_snat        ), priority=162  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.20);)
+  table=? (lr_out_snat        ), priority=153  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat_in_czone(172.168.0.10);)
+  table=? (lr_out_snat        ), priority=154  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl) && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.10);)
+  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat_in_czone(172.168.0.30);)
+  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat_in_czone(172.168.0.20);)
+  table=? (lr_out_snat        ), priority=162  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl) && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.30);)
+  table=? (lr_out_snat        ), priority=162  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl) && reg9[[4]] == 1), action=(reg9[[4]] = 0; ct_snat(172.168.0.20);)
 ])
 
 # Separate zones for DGP
@@ -5548,9 +5548,9 @@ AT_CHECK([grep "lr_out_post_undnat" lr0flows | sed 's/table=./table=?/' | sort],
 AT_CHECK([grep "lr_out_snat" lr0flows | sed 's/table=./table=?/' | sort], [0], [dnl
   table=? (lr_out_snat        ), priority=0    , match=(1), action=(next;)
   table=? (lr_out_snat        ), priority=120  , match=(nd_ns), action=(next;)
-  table=? (lr_out_snat        ), priority=153  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat(172.168.0.10);)
-  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat(172.168.0.30);)
-  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public")), action=(ct_snat(172.168.0.20);)
+  table=? (lr_out_snat        ), priority=153  , match=(ip && ip4.src == 10.0.0.0/24 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.168.0.10);)
+  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.10 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.168.0.30);)
+  table=? (lr_out_snat        ), priority=161  , match=(ip && ip4.src == 10.0.0.3 && outport == "lr0-public" && is_chassis_resident("cr-lr0-public") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.168.0.20);)
 ])
 
 # Make the logical router as Gateway router
@@ -7340,9 +7340,9 @@ AT_CHECK([grep lr_in_unsnat lrflows | grep ct_snat | sed 's/table=../table=??/'
 ])
 
 AT_CHECK([grep lr_out_snat lrflows | grep ct_snat | sed 's/table=../table=??/' | sort], [0], [dnl
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1")), action=(ct_snat(172.16.1.10);)
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S2" && is_chassis_resident("cr-DR-S2")), action=(ct_snat(10.0.0.10);)
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S3" && is_chassis_resident("cr-DR-S3")), action=(ct_snat(192.168.0.10);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.16.1.10);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S2" && is_chassis_resident("cr-DR-S2") && (!ct.trk || !ct.rpl)), action=(ct_snat(10.0.0.10);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S3" && is_chassis_resident("cr-DR-S3") && (!ct.trk || !ct.rpl)), action=(ct_snat(192.168.0.10);)
 ])
 
 check ovn-nbctl --wait=sb lr-nat-del DR snat 20.0.0.10
@@ -7416,9 +7416,9 @@ AT_CHECK([grep lr_in_unsnat lrflows | grep ct_snat | sed 's/table=../table=??/'
 ])
 
 AT_CHECK([grep lr_out_snat lrflows | grep ct_snat | sed 's/table=../table=??/' | sort], [0], [dnl
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1")), action=(ct_snat(172.16.1.10);)
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S2" && is_chassis_resident("cr-DR-S2")), action=(ct_snat(10.0.0.10);)
-  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S3" && is_chassis_resident("cr-DR-S3")), action=(ct_snat(192.168.0.10);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S1" && is_chassis_resident("cr-DR-S1") && (!ct.trk || !ct.rpl)), action=(ct_snat(172.16.1.10);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S2" && is_chassis_resident("cr-DR-S2") && (!ct.trk || !ct.rpl)), action=(ct_snat(10.0.0.10);)
+  table=??(lr_out_snat        ), priority=161  , match=(ip && ip4.src == 20.0.0.10 && outport == "DR-S3" && is_chassis_resident("cr-DR-S3") && (!ct.trk || !ct.rpl)), action=(ct_snat(192.168.0.10);)
 ])
 
 AT_CHECK([grep lr_in_dnat lrflows | grep ct_dnat | sed 's/table=../table=??/' | sort], [0], [dnl
diff --git a/tests/ovn.at b/tests/ovn.at
index 2576a659b..79c729bc6 100644
--- a/tests/ovn.at
+++ b/tests/ovn.at
@@ -34453,7 +34453,7 @@ dnat_zone=$(ovs-ofctl dump-flows br-int table=$DNAT_TABLE,metadata=0x${lr0_dp_ke
 if test -n "$dnat_zone"; then
   dnat_zone=${dnat_zone::-1}
 fi
-snat_zone=$(ovs-ofctl dump-flows br-int table=$SNAT_TABLE,metadata=0x${lr0_dp_key} | grep priority=153 | grep -o zone=.*, | cut -d '=' -f 2)
+snat_zone=$(ovs-ofctl dump-flows br-int table=$SNAT_TABLE,metadata=0x${lr0_dp_key} | grep priority=153 | grep ct_state=-trk | grep -o zone=.*, | cut -d '=' -f 2)
 if test -n "$snat_zone"; then
   snat_zone=${snat_zone::-1}
 fi
@@ -34470,7 +34470,7 @@ dnat_zone=$(ovs-ofctl dump-flows br-int table=$DNAT_TABLE,metadata=0x${lr0_dp_ke
 if test -n "$dnat_zone"; then
   dnat_zone=${dnat_zone::-1}
 fi
-snat_zone=$(ovs-ofctl dump-flows br-int table=$SNAT_TABLE,metadata=0x${lr0_dp_key} | grep priority=153 | grep -o zone=.*, | cut -d '=' -f 2)
+snat_zone=$(ovs-ofctl dump-flows br-int table=$SNAT_TABLE,metadata=0x${lr0_dp_key} | grep priority=153 | grep ct_state=-trk | grep -o zone=.*, | cut -d '=' -f 2)
 if test -n "$snat_zone"; then
   snat_zone=${snat_zone::-1}
 fi
