diff --git a/test/data/decompress/tzg.tar.gz b/test/data/decompress/tzg.tar.gz
new file mode 100644
index 00000000000..611f543688e
Binary files /dev/null and b/test/data/decompress/tzg.tar.gz differ
diff --git a/test/data/decompress/ztg.zip b/test/data/decompress/ztg.zip
new file mode 100644
index 00000000000..5f4aea4c8dc
Binary files /dev/null and b/test/data/decompress/ztg.zip differ
diff --git a/test/lisp/arc-mode-tests.el b/test/lisp/arc-mode-tests.el
index acc416d6f78..5ebc56a84fc 100644
--- a/test/lisp/arc-mode-tests.el
+++ b/test/lisp/arc-mode-tests.el
@@ -46,6 +46,22 @@
       (when (buffer-live-p zip-buffer) (kill-buffer zip-buffer))
       (when (buffer-live-p gz-buffer) (kill-buffer gz-buffer)))))
 
+(declare-function tar-extract "tar-mode")
+(ert-deftest arc-mode-test-zip-extract-tar-and-gz ()
+  (skip-unless (and archive-zip-extract (executable-find (car archive-zip-extract))))
+  (skip-unless (executable-find "gzip"))
+  (require 'tar-mode)
+  (let* ((zip-file (expand-file-name "ztg.zip" arc-mode-tests-data-directory))
+         zip-buffer tar-buffer gz-buffer)
+    (unwind-protect
+        (with-current-buffer (setq zip-buffer (find-file-noselect zip-file))
+          (with-current-buffer (setq tar-buffer (archive-extract))
+            (setq gz-buffer (tar-extract))
+            (should (equal (char-after) ?\N{SNOWFLAKE}))))
+      (when (buffer-live-p zip-buffer) (kill-buffer zip-buffer))
+      (when (buffer-live-p tar-buffer) (kill-buffer tar-buffer))
+      (when (buffer-live-p gz-buffer) (kill-buffer gz-buffer)))))
+
 (ert-deftest arc-mode-test-zip-ensure-ext ()
   "Regression test for bug#61326."
   (skip-unless (executable-find "zip"))
diff --git a/test/lisp/tar-mode-tests.el b/test/lisp/tar-mode-tests.el
index b40cd39d112..bafe575fdda 100644
--- a/test/lisp/tar-mode-tests.el
+++ b/test/lisp/tar-mode-tests.el
@@ -46,6 +46,20 @@
       (when (buffer-live-p tar-buffer) (kill-buffer tar-buffer))
       (when (buffer-live-p gz-buffer) (kill-buffer gz-buffer)))))
 
+(ert-deftest tar-mode-test-tar-extract-zip-and-gz ()
+  (skip-unless (executable-find "gzip"))
+  (require 'arc-mode)
+  (let* ((tar-file (expand-file-name "tzg.tar.gz" tar-mode-tests-data-directory))
+         tar-buffer zip-buffer gz-buffer)
+    (unwind-protect
+        (with-current-buffer (setq tar-buffer (find-file-noselect tar-file))
+          (with-current-buffer (setq zip-buffer (tar-extract))
+            (setq gz-buffer (archive-extract))
+            (should (equal (char-after) ?\N{SNOWFLAKE}))))
+      (when (buffer-live-p tar-buffer) (kill-buffer tar-buffer))
+      (when (buffer-live-p zip-buffer) (kill-buffer zip-buffer))
+      (when (buffer-live-p gz-buffer) (kill-buffer gz-buffer)))))
+
 (provide 'tar-mode-tests)
 
 ;;; tar-mode-tests.el ends here