diff --git a/integration/network/service_test.go b/integration/network/service_test.go
index 8a92786fd8..6f6da18cd1 100644
--- a/integration/network/service_test.go
+++ b/integration/network/service_test.go
@@ -7,6 +7,7 @@ import (
 
 	"github.com/docker/docker/api/types"
 	swarmtypes "github.com/docker/docker/api/types/swarm"
+	"github.com/docker/docker/api/types/versions"
 	"github.com/docker/docker/client"
 	"github.com/docker/docker/integration/internal/swarm"
 	"github.com/docker/docker/internal/test/daemon"
@@ -24,7 +25,7 @@ func delInterface(t *testing.T, ifName string) {
 }
 
 func TestDaemonRestartWithLiveRestore(t *testing.T) {
-	skip.If(t, testEnv.IsRemoteDaemon())
+	skip.If(t, testEnv.IsRemoteDaemon(), versions.LessThan(testEnv.DaemonAPIVersion(), "1.38"))
 	d := daemon.New(t)
 	defer d.Stop(t)
 	d.Start(t)
@@ -44,7 +45,7 @@ func TestDaemonRestartWithLiveRestore(t *testing.T) {
 
 func TestDaemonDefaultNetworkPools(t *testing.T) {
 	// Remove docker0 bridge and the start daemon defining the predefined address pools
-	skip.If(t, testEnv.IsRemoteDaemon())
+	skip.If(t, testEnv.IsRemoteDaemon(), versions.LessThan(testEnv.DaemonAPIVersion(), "1.38"))
 	defaultNetworkBridge := "docker0"
 	delInterface(t, defaultNetworkBridge)
 	d := daemon.New(t)
@@ -89,7 +90,7 @@ func TestDaemonDefaultNetworkPools(t *testing.T) {
 }
 
 func TestDaemonRestartWithExistingNetwork(t *testing.T) {
-	skip.If(t, testEnv.IsRemoteDaemon())
+	skip.If(t, testEnv.IsRemoteDaemon(), versions.LessThan(testEnv.DaemonAPIVersion(), "1.38"))
 	defaultNetworkBridge := "docker0"
 	d := daemon.New(t)
 	d.Start(t)
@@ -123,7 +124,7 @@ func TestDaemonRestartWithExistingNetwork(t *testing.T) {
 }
 
 func TestDaemonRestartWithExistingNetworkWithDefaultPoolRange(t *testing.T) {
-	skip.If(t, testEnv.IsRemoteDaemon())
+	skip.If(t, testEnv.IsRemoteDaemon(), versions.LessThan(testEnv.DaemonAPIVersion(), "1.38"))
 	defaultNetworkBridge := "docker0"
 	d := daemon.New(t)
 	d.Start(t)
@@ -179,7 +180,7 @@ func TestDaemonRestartWithExistingNetworkWithDefaultPoolRange(t *testing.T) {
 }
 
 func TestDaemonWithBipAndDefaultNetworkPool(t *testing.T) {
-	skip.If(t, testEnv.IsRemoteDaemon())
+	skip.If(t, testEnv.IsRemoteDaemon(), versions.LessThan(testEnv.DaemonAPIVersion(), "1.38"))
 	defaultNetworkBridge := "docker0"
 	d := daemon.New(t)
 	defer d.Stop(t)