diff --git a/IPython/core/tests/test_profile.py b/IPython/core/tests/test_profile.py
index 07f43e4..2732a8c 100644
--- a/IPython/core/tests/test_profile.py
+++ b/IPython/core/tests/test_profile.py
@@ -70,15 +70,6 @@ def teardown_module():
 #-----------------------------------------------------------------------------
 # Test functions
 #-----------------------------------------------------------------------------
-def win32_without_pywin32():
-    if sys.platform == 'win32':
-        try:
-            import pywin32
-        except ImportError:
-            return True
-    return False
-
-
 class ProfileStartupTest(TestCase):
     def setUp(self):
         # create profile dir
@@ -102,12 +93,10 @@ class ProfileStartupTest(TestCase):
     def validate(self, output):
         tt.ipexec_validate(self.fname, output, '', options=self.options)
 
-    @dec.skipif(win32_without_pywin32(), "Test requires pywin32 on Windows")
     def test_startup_py(self):
         self.init('00-start.py', 'zzz=123\n', 'print(zzz)\n')
         self.validate('123')
 
-    @dec.skipif(win32_without_pywin32(), "Test requires pywin32 on Windows")
     def test_startup_ipy(self):
         self.init('00-start.ipy', '%xmode plain\n', '')
         self.validate('Exception reporting mode: Plain')
diff --git a/IPython/core/tests/test_run.py b/IPython/core/tests/test_run.py
index c593a82..742b6b2 100644
--- a/IPython/core/tests/test_run.py
+++ b/IPython/core/tests/test_run.py
@@ -237,11 +237,6 @@ class TestMagicRunSimple(tt.TempFileMixin):
 
     def test_obj_del(self):
         """Test that object's __del__ methods are called on exit."""
-        if sys.platform == 'win32':
-            try:
-                import win32api
-            except ImportError as e:
-                raise unittest.SkipTest("Test requires pywin32") from e
         src = ("class A(object):\n"
                "    def __del__(self):\n"
                "        print('object A deleted')\n"
diff --git a/appveyor.yml b/appveyor.yml
index 8f9841f..c370275 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -26,7 +26,7 @@ init:
 install:
   - "SET PATH=%PYTHON%;%PYTHON%\\Scripts;%PATH%"
   - python -m pip install --upgrade setuptools pip
-  - pip install nose coverage pytest pytest-cov pytest-trio pywin32 matplotlib pandas
+  - pip install nose coverage pytest pytest-cov pytest-trio matplotlib pandas
   - pip install -e .[test]
   - mkdir results
   - cd results