diff --git a/pkgs/applications/video/peek/default.nix b/pkgs/applications/video/peek/default.nix
index edeb848867f..27064077a9f 100644
--- a/pkgs/applications/video/peek/default.nix
+++ b/pkgs/applications/video/peek/default.nix
@@ -1,5 +1,7 @@
-{ lib, stdenv
+{ stdenv
+, lib
 , fetchFromGitHub
+, fetchpatch
 , nix-update-script
 , meson
 , ninja
@@ -35,6 +37,15 @@ stdenv.mkDerivation rec {
     sha256 = "1xwlfizga6hvjqq127py8vabaphsny928ar7mwqj9cyqfl6fx41x";
   };
 
+  patches = [
+    # Fix compatibility with GNOME Shell ≥ 40.
+    # https://github.com/phw/peek/pull/910
+    (fetchpatch {
+      url = "https://github.com/phw/peek/commit/008d15316ab5428363c512b263ca8138cb8f52ba.patch";
+      sha256 = "xxJ+r5uRk93MEzWTFla88ewZsnUl3+YKTenzDygtKP0=";
+    })
+  ];
+
   nativeBuildInputs = [
     appstream-glib
     desktop-file-utils