diff --git a/test/test_api/test_api_classes_follow_definition.py b/test/test_api/test_api_classes_follow_definition.py
index 69bb31d0..1b6cf793 100644
--- a/test/test_api/test_api_classes_follow_definition.py
+++ b/test/test_api/test_api_classes_follow_definition.py
@@ -18,7 +18,7 @@ def check_follow_definition_types(Script, source):
     return [d.type for d in defs]
 
 
-def test_follow_import_incomplete(Script):
+def test_follow_import_incomplete(Script, environment):
     """
     Completion on incomplete imports should always take the full completion
     to do any evaluation.
@@ -34,8 +34,10 @@ def test_follow_import_incomplete(Script):
 
     # incomplete `from * import` part
     datetime = check_follow_definition_types(Script, "from datetime import datetim")
-    assert set(datetime) == {'class', 'instance'}  # py33: builtin and pure py version
-
+    if environment.version_info.major == 2:
+        assert datetime == ['class']
+    else:
+        assert set(datetime) == {'class', 'instance'}  # py3: builtin and pure py version
     # os.path check
     ospath = check_follow_definition_types(Script, "from os.path import abspat")
     assert ospath == ['function']
diff --git a/test/test_evaluate/test_compiled.py b/test/test_evaluate/test_compiled.py
index c5b07616..3d482eca 100644
--- a/test/test_evaluate/test_compiled.py
+++ b/test/test_evaluate/test_compiled.py
@@ -1,5 +1,7 @@
 from textwrap import dedent
 
+import pytest
+
 from jedi.evaluate import compiled
 from jedi.evaluate.helpers import execute_evaluated
 
@@ -85,5 +87,8 @@ def test_time_docstring(Script):
     assert comp.docstring() == expected
 
 
-def test_dict_values(Script):
+def test_dict_values(Script, environment):
+    if environment.version_info.major == 2:
+        # It looks like typeshed for Python 2 returns Any.
+        pytest.skip()
     assert Script('import sys\nsys.modules["alshdb;lasdhf"]').goto_definitions()