diff --git a/test/test_compatibility.py b/test/test_compatibility.py
index 01c9dae5..c3c5c0e5 100644
--- a/test/test_compatibility.py
+++ b/test/test_compatibility.py
@@ -5,22 +5,14 @@ from jedi._compatibility import highest_pickle_protocol
 def test_highest_pickle_protocol():
     v = namedtuple('version', 'major, minor')
     assert highest_pickle_protocol([v(2, 7), v(2, 7)]) == 2
-    assert highest_pickle_protocol([v(2, 7), v(3, 3)]) == 2
-    assert highest_pickle_protocol([v(2, 7), v(3, 4)]) == 2
+    assert highest_pickle_protocol([v(2, 7), v(3, 8)]) == 2
     assert highest_pickle_protocol([v(2, 7), v(3, 5)]) == 2
     assert highest_pickle_protocol([v(2, 7), v(3, 6)]) == 2
-    assert highest_pickle_protocol([v(3, 3), v(2, 7)]) == 2
-    assert highest_pickle_protocol([v(3, 3), v(3, 3)]) == 3
-    assert highest_pickle_protocol([v(3, 3), v(3, 4)]) == 3
-    assert highest_pickle_protocol([v(3, 3), v(3, 5)]) == 3
-    assert highest_pickle_protocol([v(3, 3), v(3, 6)]) == 3
-    assert highest_pickle_protocol([v(3, 4), v(2, 7)]) == 2
-    assert highest_pickle_protocol([v(3, 4), v(3, 3)]) == 3
-    assert highest_pickle_protocol([v(3, 4), v(3, 4)]) == 4
-    assert highest_pickle_protocol([v(3, 4), v(3, 5)]) == 4
-    assert highest_pickle_protocol([v(3, 4), v(3, 6)]) == 4
+    assert highest_pickle_protocol([v(3, 8), v(2, 7)]) == 2
+    assert highest_pickle_protocol([v(3, 8), v(3, 8)]) == 4
+    assert highest_pickle_protocol([v(3, 8), v(3, 5)]) == 4
+    assert highest_pickle_protocol([v(3, 8), v(3, 6)]) == 4
     assert highest_pickle_protocol([v(3, 6), v(2, 7)]) == 2
-    assert highest_pickle_protocol([v(3, 6), v(3, 3)]) == 3
-    assert highest_pickle_protocol([v(3, 6), v(3, 4)]) == 4
+    assert highest_pickle_protocol([v(3, 6), v(3, 8)]) == 4
     assert highest_pickle_protocol([v(3, 6), v(3, 5)]) == 4
     assert highest_pickle_protocol([v(3, 6), v(3, 6)]) == 4
diff --git a/test/test_inference/test_gradual/test_typeshed.py b/test/test_inference/test_gradual/test_typeshed.py
index dd0e24dc..5e668a49 100644
--- a/test/test_inference/test_gradual/test_typeshed.py
+++ b/test/test_inference/test_gradual/test_typeshed.py
@@ -24,9 +24,6 @@ def test_get_typeshed_directories():
     dirs = get_dirs(PythonVersionInfo(2, 7))
     assert dirs == transform({'stdlib/2and3', 'stdlib/2', 'third_party/2and3', 'third_party/2'})
 
-    dirs = get_dirs(PythonVersionInfo(3, 4))
-    assert dirs == transform({'stdlib/2and3', 'stdlib/3', 'third_party/2and3', 'third_party/3'})
-
     dirs = get_dirs(PythonVersionInfo(3, 5))
     assert dirs == transform({'stdlib/2and3', 'stdlib/3',
                               'third_party/2and3', 'third_party/3'})
diff --git a/test/test_inference/test_implicit_namespace_package.py b/test/test_inference/test_implicit_namespace_package.py
index 0b3bee71..3fa2b09a 100644
--- a/test/test_inference/test_implicit_namespace_package.py
+++ b/test/test_inference/test_implicit_namespace_package.py
@@ -8,7 +8,7 @@ from jedi import Project
 
 @pytest.fixture(autouse=True)
 def skip_not_supported_versions(environment):
-    if environment.version_info < (3, 4):
+    if environment.version_info < (3, 5):
         pytest.skip()
 
 
diff --git a/test/test_inference/test_namespace_package.py b/test/test_inference/test_namespace_package.py
index 0867af85..3cbd8d6e 100644
--- a/test/test_inference/test_namespace_package.py
+++ b/test/test_inference/test_namespace_package.py
@@ -82,7 +82,7 @@ def test_relative_import(Script, environment, tmpdir):
     """
     Attempt a relative import in a very simple namespace package.
     """
-    if environment.version_info < (3, 4):
+    if environment.version_info < (3, 5):
         pytest.skip()
 
     directory = get_example_dir('namespace_package_relative_import')