diff --git a/pkgs/development/python-modules/pyppeteer/default.nix b/pkgs/development/python-modules/pyppeteer/default.nix
index 4c15d006a9d5..4fd2c95a0a2d 100644
--- a/pkgs/development/python-modules/pyppeteer/default.nix
+++ b/pkgs/development/python-modules/pyppeteer/default.nix
@@ -27,13 +27,6 @@ buildPythonPackage rec {
     hash = "sha256-LYyV4Wzz4faewSsGjNe0i/9BLbCHzzEns2ZL2MYkGWw=";
   };
 
-  postPatch = ''
-    substituteInPlace pyproject.toml \
-      --replace 'pyee = "^8.1.0"' 'pyee = "*"' \
-      --replace 'urllib3 = "^1.25.8"' 'urllib3 = "*"' \
-      --replace 'websockets = "^10.0"' 'websockets = "*"'
-  '';
-
   nativeBuildInputs = [ poetry-core ];
 
   propagatedBuildInputs = [
@@ -46,6 +39,12 @@ buildPythonPackage rec {
     websockets
   ];
 
+  pythonRelaxDeps = [
+    "pyee"
+    "urllib3"
+    "websockets"
+  ];
+
   nativeCheckInputs = [
     syncer
     pytest-xdist