diff --git a/lisp/vc/vc-git.el b/lisp/vc/vc-git.el
index 412598d084c..ef93edd1616 100644
--- a/lisp/vc/vc-git.el
+++ b/lisp/vc/vc-git.el
@@ -1303,25 +1303,6 @@ vc-git-push
 for the Git command to run."
   (vc-git--pushpull "push" prompt nil))
 
-(defun vc-git-pull-and-push (prompt)
-  "Pull changes into the current Git branch, and then push.
-The push will only be performed if the pull was successful.
-
-Normally, this runs \"git pull\".  If PROMPT is non-nil, prompt
-for the Git command to run."
-  (let ((proc (vc-git--pushpull "pull" prompt '("--stat"))))
-    (when (process-buffer proc)
-      (with-current-buffer (process-buffer proc)
-        (if (and (eq (process-status proc) 'exit)
-                 (zerop (process-exit-status proc)))
-            (let ((vc--inhibit-async-window t))
-              (vc-git-push nil))
-          (vc-exec-after
-           (lambda ()
-             (let ((vc--inhibit-async-window t))
-               (vc-git-push nil)))
-           proc))))))
-
 (defun vc-git-merge-branch ()
   "Merge changes into the current Git branch.
 This prompts for a branch to merge from."
diff --git a/lisp/vc/vc.el b/lisp/vc/vc.el
index 13124509c27..0890b63d417 100644
--- a/lisp/vc/vc.el
+++ b/lisp/vc/vc.el
@@ -3071,9 +3071,20 @@ vc-pull-and-push
   (interactive "P")
   (let* ((vc-fileset (vc-deduce-fileset t))
 	 (backend (car vc-fileset)))
-    (if (vc-find-backend-function backend 'pull-and-push)
-        (vc-call-backend backend 'pull-and-push arg)
-      (user-error "VC pull-and-push is unsupported for `%s'" backend))))
+    (if (vc-find-backend-function backend 'pull)
+        (let ((proc (vc-call-backend backend 'pull arg)))
+          (when (and (processp proc) (process-buffer proc))
+            (with-current-buffer (process-buffer proc)
+              (if (and (eq (process-status proc) 'exit)
+                       (zerop (process-exit-status proc)))
+                  (let ((vc--inhibit-async-window t))
+                    (vc-push arg))
+                (vc-exec-after
+                 (lambda ()
+                   (let ((vc--inhibit-async-window t))
+                     (vc-push arg)))
+                 proc)))))
+      (user-error "VC pull is unsupported for `%s'" backend))))
 
 (defun vc-version-backup-file (file &optional rev)
   "Return name of backup file for revision REV of FILE.