diff --git a/pkg/machine/e2e/stop_test.go b/pkg/machine/e2e/stop_test.go
index a1db7b975d..28d17e4772 100644
--- a/pkg/machine/e2e/stop_test.go
+++ b/pkg/machine/e2e/stop_test.go
@@ -1,6 +1,8 @@
 package e2e_test
 
 import (
+	"fmt"
+
 	. "github.com/onsi/ginkgo/v2"
 	. "github.com/onsi/gomega"
 	. "github.com/onsi/gomega/gexec"
@@ -28,8 +30,9 @@ var _ = Describe("podman machine stop", func() {
 	})
 
 	It("Stop running machine", func() {
+		name := randomString()
 		i := new(initMachine)
-		session, err := mb.setCmd(i.withImagePath(mb.imagePath).withNow()).run()
+		session, err := mb.setName(name).setCmd(i.withImagePath(mb.imagePath).withNow()).run()
 		Expect(err).ToNot(HaveOccurred())
 		Expect(session).To(Exit(0))
 
@@ -42,5 +45,6 @@ var _ = Describe("podman machine stop", func() {
 		stopAgain, err := mb.setCmd(stop).run()
 		Expect(err).ToNot(HaveOccurred())
 		Expect(stopAgain).To(Exit((0)))
+		Expect(stopAgain.outputToString()).To(ContainSubstring(fmt.Sprintf("Machine \"%s\" stopped successfully", name)))
 	})
 })
diff --git a/pkg/machine/wsl/machine.go b/pkg/machine/wsl/machine.go
index 25d6864b75..80ae9f3da0 100644
--- a/pkg/machine/wsl/machine.go
+++ b/pkg/machine/wsl/machine.go
@@ -1421,7 +1421,7 @@ func (v *MachineVM) Stop(name string, _ machine.StopOptions) error {
 	}
 
 	if !wsl || !sysd {
-		return fmt.Errorf("%q is not running", v.Name)
+		return nil
 	}
 
 	// Stop user-mode networking if enabled