diff --git a/daemon/container_unix.go b/daemon/container_unix.go
index 8015acaf23..ef9820cd51 100644
--- a/daemon/container_unix.go
+++ b/daemon/container_unix.go
@@ -1122,8 +1122,12 @@ func (container *Container) CleanupStorage() error {
 
 func (container *Container) networkMounts() []execdriver.Mount {
 	var mounts []execdriver.Mount
+	mode := "Z"
+	if container.hostConfig.NetworkMode.IsContainer() {
+		mode = "z"
+	}
 	if container.ResolvConfPath != "" {
-		label.SetFileLabel(container.ResolvConfPath, container.MountLabel)
+		label.Relabel(container.ResolvConfPath, container.MountLabel, mode)
 		mounts = append(mounts, execdriver.Mount{
 			Source:      container.ResolvConfPath,
 			Destination: "/etc/resolv.conf",
@@ -1132,7 +1136,7 @@ func (container *Container) networkMounts() []execdriver.Mount {
 		})
 	}
 	if container.HostnamePath != "" {
-		label.SetFileLabel(container.HostnamePath, container.MountLabel)
+		label.Relabel(container.HostnamePath, container.MountLabel, mode)
 		mounts = append(mounts, execdriver.Mount{
 			Source:      container.HostnamePath,
 			Destination: "/etc/hostname",
@@ -1141,7 +1145,7 @@ func (container *Container) networkMounts() []execdriver.Mount {
 		})
 	}
 	if container.HostsPath != "" {
-		label.SetFileLabel(container.HostsPath, container.MountLabel)
+		label.Relabel(container.HostsPath, container.MountLabel, mode)
 		mounts = append(mounts, execdriver.Mount{
 			Source:      container.HostsPath,
 			Destination: "/etc/hosts",