diff --git a/integration-cli/daemon/daemon.go b/integration-cli/daemon/daemon.go
index 4919c7ebb0..1094fc21e4 100644
--- a/integration-cli/daemon/daemon.go
+++ b/integration-cli/daemon/daemon.go
@@ -37,10 +37,16 @@ func New(t testing.TB, dockerBinary string, dockerdBinary string, ops ...daemon.
 // Cmd executes a docker CLI command against this daemon.
 // Example: d.Cmd("version") will run docker -H unix://path/to/unix.sock version
 func (d *Daemon) Cmd(args ...string) (string, error) {
-	result := icmd.RunCmd(d.Command(args...))
+	result := d.RunCmd(args...)
 	return result.Combined(), result.Error
 }
 
+// RunCmd executes a docker CLI command against this daemon and returns the result.
+// Example: d.RunCmd("version") will run docker -H unix://path/to/unix.sock version
+func (d *Daemon) RunCmd(args ...string) *icmd.Result {
+	return icmd.RunCmd(d.Command(args...))
+}
+
 // Command creates a docker CLI command against this daemon, to be executed later.
 // Example: d.Command("version") creates a command to run "docker -H unix://path/to/unix.sock version"
 func (d *Daemon) Command(args ...string) icmd.Cmd {
diff --git a/integration-cli/docker_cli_daemon_test.go b/integration-cli/docker_cli_daemon_test.go
index e8dd08260f..6098dfb24a 100644
--- a/integration-cli/docker_cli_daemon_test.go
+++ b/integration-cli/docker_cli_daemon_test.go
@@ -1238,9 +1238,10 @@ func (s *DockerDaemonSuite) TestDaemonRestartWithNames(c *testing.T) {
 	assert.NilError(c, err, out)
 	test2ID := strings.TrimSpace(out)
 
-	out, err = s.d.Cmd("run", "-d", "--name=test3", "--link", "test2:abc", "busybox", "top")
-	assert.NilError(c, err)
-	test3ID := strings.TrimSpace(out)
+	res := s.d.RunCmd("run", "-d", "--name=test3", "--link", "test2:abc", "busybox", "top")
+	assert.NilError(c, res.Error)
+	// Discard any warnings about legacy links, which are emitted on stderr.
+	test3ID := strings.TrimSpace(res.Stdout())
 
 	s.d.Restart(c)