diff --git a/cmd/kube-scheduler/app/server.go b/cmd/kube-scheduler/app/server.go
index d4f1905d23b7..fd0ab6d0c7c4 100644
--- a/cmd/kube-scheduler/app/server.go
+++ b/cmd/kube-scheduler/app/server.go
@@ -214,7 +214,7 @@ func Run(cc schedulerserverconfig.CompletedConfig, stopCh <-chan struct{}) error
 		// TODO: handle stoppedCh returned by c.SecureServing.Serve
 		if _, err := cc.SecureServing.Serve(handler, 0, stopCh); err != nil {
 			// fail early for secure handlers, removing the old error loop from above
-			return fmt.Errorf("failed to start healthz server: %v", err)
+			return fmt.Errorf("failed to start secure server: %v", err)
 		}
 	}
 
@@ -306,7 +306,7 @@ func newMetricsHandler(config *kubeschedulerconfig.KubeSchedulerConfiguration) h
 	return pathRecorderMux
 }
 
-// newHealthzServer creates a healthz server from the config, and will also
+// newHealthzHandler creates a healthz server from the config, and will also
 // embed the metrics handler if the healthz and metrics address configurations
 // are the same.
 func newHealthzHandler(config *kubeschedulerconfig.KubeSchedulerConfiguration, separateMetrics bool, checks ...healthz.HealthzChecker) http.Handler {