diff --git a/pkgs/development/python-modules/construct/2.10.54.nix b/pkgs/development/python-modules/construct/2.10.54.nix
index 30d303b60cd0..6cfca7260512 100644
--- a/pkgs/development/python-modules/construct/2.10.54.nix
+++ b/pkgs/development/python-modules/construct/2.10.54.nix
@@ -14,9 +14,20 @@ buildPythonPackage rec {
     sha256 = "1mqspsn6bf3ibvih1zna2glkg8iw7vy5zg9gzg0d1m8zcndk2c48";
   };
 
-  checkInputs = [ pytestCheckHook pytest-benchmark enum34 numpy arrow ruamel-yaml ];
+  checkInputs = [ pytestCheckHook pytest-benchmark enum34 numpy ];
 
-  disabledTests = lib.optionals stdenv.isDarwin [ "test_multiprocessing" ];
+  # these have dependencies that are broken on Python 2
+  disabledTestPaths = [
+    "tests/gallery/test_gallery.py"
+    "tests/test_benchmarks.py"
+    "tests/test_compiler.py"
+  ];
+
+  disabledTests = [
+    "test_timestamp"
+  ] ++ lib.optionals stdenv.isDarwin [
+    "test_multiprocessing"
+  ];
 
   pytestFlagsArray = [ "--benchmark-disable" ];
 
diff --git a/pkgs/development/python-modules/html5lib/default.nix b/pkgs/development/python-modules/html5lib/default.nix
index f0abbcfbecce..1172b0195132 100644
--- a/pkgs/development/python-modules/html5lib/default.nix
+++ b/pkgs/development/python-modules/html5lib/default.nix
@@ -1,12 +1,11 @@
 { lib
 , buildPythonPackage
 , fetchPypi
-, flake8
-, pytest_4
-, pytest-expect
-, mock
 , six
 , webencodings
+, mock
+, pytest-expect
+, pytestCheckHook_5
 }:
 
 buildPythonPackage rec {
@@ -18,17 +17,16 @@ buildPythonPackage rec {
     sha256 = "b2e5b40261e20f354d198eae92afc10d750afb487ed5e50f9c4eaf07c184146f";
   };
 
-  checkInputs = [ flake8 pytest_4 pytest-expect mock ];
   propagatedBuildInputs = [
-    six webencodings
+    six
+    webencodings
   ];
 
-  checkPhase = ''
-    # remove test causing error
-    # https://github.com/html5lib/html5lib-python/issues/411
-    rm html5lib/tests/test_stream.py
-    py.test
-  '';
+  checkInputs = [
+    mock
+    pytest-expect
+    pytestCheckHook_5
+  ];
 
   meta = {
     homepage = "https://github.com/html5lib/html5lib-python";
diff --git a/pkgs/top-level/python-packages.nix b/pkgs/top-level/python-packages.nix
index 798f375dd894..ef432308a31d 100644
--- a/pkgs/top-level/python-packages.nix
+++ b/pkgs/top-level/python-packages.nix
@@ -137,6 +137,11 @@ in {
   # it should not override the version of pytest that is used for say
   # Python 2. This is an ugly hack that is needed now because the hook
   # propagates the package.
+  pytestCheckHook_5 = if isPy3k then
+    self.pytestCheckHook.override { pytest = self.pytest_5; }
+  else
+    self.pytestCheckHook;
+
   pytestCheckHook_6_1 = if isPy3k then
     self.pytestCheckHook.override { pytest = self.pytest_6_1; }
   else