diff --git a/test/e2e/framework/pod/resource.go b/test/e2e/framework/pod/resource.go
index 84a69cb87fd..f619094db76 100644
--- a/test/e2e/framework/pod/resource.go
+++ b/test/e2e/framework/pod/resource.go
@@ -456,7 +456,9 @@ func NewExecPodSpec(ns, name string, hostNetwork bool) *v1.Pod {
 
 // newExecPodSpec returns the pod spec of exec pod
 func newExecPodSpec(ns, generateName string) *v1.Pod {
-	pod := NewAgnhostPod(ns, "agnhost-pod", nil, nil, nil)
+	// GenerateName is an optional prefix, used by the server,
+	// to generate a unique name ONLY IF the Name field has not been provided
+	pod := NewAgnhostPod(ns, "", nil, nil, nil)
 	pod.ObjectMeta.GenerateName = generateName
 	return pod
 }