diff --git a/pkgs/development/python-modules/glean-parser/default.nix b/pkgs/development/python-modules/glean-parser/default.nix
index 535fd9750748..9f80204e7360 100644
--- a/pkgs/development/python-modules/glean-parser/default.nix
+++ b/pkgs/development/python-modules/glean-parser/default.nix
@@ -15,7 +15,7 @@
 
 buildPythonPackage rec {
   pname = "glean-parser";
-  version = "5.1.2";
+  version = "6.1.1";
   format = "setuptools";
 
   disabled = pythonOlder "3.6";
@@ -23,13 +23,13 @@ buildPythonPackage rec {
   src = fetchPypi {
     pname = "glean_parser";
     inherit version;
-    hash = "sha256-PjOMNUnrz0kDfYEXv5Ni/9RIHn4Yylle6NJOK1Rb3SY=";
+    hash = "sha256-vEGleqQytNYyy/DfHwqxrHIOMCj4sZTavfuxyDc5O30=";
   };
 
   postPatch = ''
     substituteInPlace setup.py \
       --replace "pytest-runner" "" \
-      --replace "MarkupSafe==2.0.1" "MarkupSafe"
+      --replace "MarkupSafe>=1.1.1,<=2.0.1" "MarkupSafe>=1.1.1"
   '';
 
   nativeBuildInputs = [
@@ -50,9 +50,15 @@ buildPythonPackage rec {
     pytestCheckHook
   ];
 
+  preCheck = ''
+    export HOME=$TMPDIR
+  '';
+
   disabledTests = [
-    # https://bugzilla.mozilla.org/show_bug.cgi?id=1741668
+    # Network access
     "test_validate_ping"
+    # Fails since yamllint 1.27.x
+    "test_yaml_lint"
   ];
 
   pythonImportsCheck = [