diff --git a/test/test_dependency_versions.py b/test/test_dependency_versions.py
index c290c971..bef12a72 100644
--- a/test/test_dependency_versions.py
+++ b/test/test_dependency_versions.py
@@ -50,7 +50,7 @@ def get_versions_from_constraint_file(constraint_file):
     return versions
 
 
-@pytest.mark.parametrize('python_version', ['2.7', '3.5', '3.8'])
+@pytest.mark.parametrize('python_version', ['2.7', '3.5', '3.6', '3.8'])
 def test_pinned_versions(tmp_path, python_version):
     if utils.platform == 'linux':
         pytest.skip('linux doesn\'t pin individual tool versions, it pins manylinux images instead')
@@ -66,6 +66,9 @@ def test_pinned_versions(tmp_path, python_version):
     elif python_version == '3.5':
         constraint_filename = 'constraints-python35.txt'
         build_pattern = '[cp]p35-*'
+    elif python_version == '3.6':
+        constraint_filename = 'constraints-python36.txt'
+        build_pattern = '[cp]p36-*'
     else:
         constraint_filename = 'constraints.txt'
         build_pattern = '[cp]p38-*'
@@ -94,6 +97,9 @@ def test_pinned_versions(tmp_path, python_version):
     elif python_version == '3.5':
         expected_wheels = [w for w in utils.expected_wheels('spam', '0.1.0')
                            if '-cp35' in w or '-pp35' in w]
+    elif python_version == '3.6':
+        expected_wheels = [w for w in utils.expected_wheels('spam', '0.1.0')
+                           if '-cp36' in w or '-pp36' in w]
     elif python_version == '3.8':
         expected_wheels = [w for w in utils.expected_wheels('spam', '0.1.0')
                            if '-cp38' in w or '-pp38' in w]