diff --git a/0002-Test-eshell-test-subcommand-reset-in-pipeline-is-uns.patch b/0002-Test-eshell-test-subcommand-reset-in-pipeline-is-uns.patch
new file mode 100644
index 0000000..94b83bf
--- /dev/null
+++ b/0002-Test-eshell-test-subcommand-reset-in-pipeline-is-uns.patch
@@ -0,0 +1,25 @@
+From 8ae158173d1d748d55e2605c04d33a95739e055c Mon Sep 17 00:00:00 2001
+From: Peter Oliver <git@mavit.org.uk>
+Date: Mon, 15 Jul 2024 16:17:38 +0100
+Subject: [PATCH 2/3] Test eshell-test/subcommand-reset-in-pipeline is unstable
+
+Could be related to https://debbugs.gnu.org/cgi/bugreport.cgi?bug=65602
+---
+ test/lisp/eshell/eshell-tests.el | 1 +
+ 1 file changed, 1 insertion(+)
+
+diff --git a/test/lisp/eshell/eshell-tests.el b/test/lisp/eshell/eshell-tests.el
+index 3812a4117ac..8c13d4af237 100644
+--- a/test/lisp/eshell/eshell-tests.el
++++ b/test/lisp/eshell/eshell-tests.el
+@@ -79,6 +79,7 @@ eshell-test/pipe-subcommand-with-pipe
+ 
+ (ert-deftest eshell-test/subcommand-reset-in-pipeline ()
+   "Check that subcommands reset `eshell-in-pipeline-p'."
++  :tags (if (getenv "RPM_BUILD_ROOT") '(:unstable))
+   (skip-unless (executable-find "cat"))
+   (dolist (template '("echo {%s} | *cat"
+                       "echo ${%s} | *cat"
+-- 
+2.45.2
+
diff --git a/0003-Mark-multiple-mml-sec-tests-as-unstable-when-built-i.patch b/0003-Mark-multiple-mml-sec-tests-as-unstable-when-built-i.patch
new file mode 100644
index 0000000..397cbf1
--- /dev/null
+++ b/0003-Mark-multiple-mml-sec-tests-as-unstable-when-built-i.patch
@@ -0,0 +1,44 @@
+From 7beb6f67c68f110bf91324bdaafb2cbd22d9f814 Mon Sep 17 00:00:00 2001
+From: Peter Oliver <git@mavit.org.uk>
+Date: Mon, 15 Jul 2024 16:19:10 +0100
+Subject: [PATCH 3/3] Mark multiple mml-sec tests as unstable when built in an
+ RPM
+
+* test/lisp/gnus/mml-sec-tests.el: Mark unstable tests which have been
+seen to intermittently fail at
+https://koji.fedoraproject.org/koji/packageinfo?packageID=560
+---
+ test/lisp/gnus/mml-sec-tests.el | 3 +++
+ 1 file changed, 3 insertions(+)
+
+diff --git a/test/lisp/gnus/mml-sec-tests.el b/test/lisp/gnus/mml-sec-tests.el
+index 7abd1bd65a3..1d83ec98ed8 100644
+--- a/test/lisp/gnus/mml-sec-tests.el
++++ b/test/lisp/gnus/mml-sec-tests.el
+@@ -278,6 +278,7 @@ mml-secure-key-checks
+ 
+ (ert-deftest mml-secure-find-usable-keys-1 ()
+   "Make sure that expired and disabled keys and revoked UIDs are not used."
++  :tags (if (getenv "RPM_BUILD_ROOT") '(:unstable))
+   (skip-unless (test-conf))
+   (mml-secure-test-fixture
+    (lambda ()
+@@ -581,6 +582,7 @@ mml-secure-test-en-decrypt-with-passphrase
+ (ert-deftest mml-secure-en-decrypt-1 ()
+   "Encrypt message; then decrypt and test for expected result.
+ In this test, the single matching key is chosen automatically."
++  :tags (if (getenv "RPM_BUILD_ROOT") '(:unstable))
+   (skip-unless (test-conf))
+   (dolist (method (enc-standards) nil)
+     ;; no-exp@example.org with single encryption key
+@@ -625,6 +627,7 @@ mml-secure-en-decrypt-3
+ (ert-deftest mml-secure-en-decrypt-4 ()
+   "Encrypt message; then decrypt and test for expected result.
+ In this test, encrypt-to-self variables are set to lists."
++  :tags (if (getenv "RPM_BUILD_ROOT") '(:unstable))
+   (skip-unless (test-conf))
+   ;; Send from sub@example.org, which has two keys; encrypt to both.
+   (let ((mml-secure-openpgp-encrypt-to-self
+-- 
+2.45.2
+
diff --git a/emacs.spec b/emacs.spec
index 1a68564..e0dece3 100644
--- a/emacs.spec
+++ b/emacs.spec
@@ -49,6 +49,10 @@ Patch:         0001-Fix-wdired-test-unfinished-edit-01-when-temp-dirname.patch
 # Fix intermittently failing test (https://debbugs.gnu.org/cgi/bugreport.cgi?bug=72120)
 Patch:         0001-Fix-intermittent-failure-of-dired-test-bug27243-02.patch
 
+# Skip intermittently failing tests
+Patch:         0002-Test-eshell-test-subcommand-reset-in-pipeline-is-uns.patch
+Patch:         0003-Mark-multiple-mml-sec-tests-as-unstable-when-built-i.patch
+
 # Workaround for https://bugzilla.redhat.com/show_bug.cgi?id=2276822
 # (https://debbugs.gnu.org/cgi/bugreport.cgi?bug=63555).  If GDK ever
 # gets any new backends, this patch may need extending.