diff --git a/src/pytest_mypy.py b/src/pytest_mypy.py
index 9714cab..7c2ca8d 100644
--- a/src/pytest_mypy.py
+++ b/src/pytest_mypy.py
@@ -75,11 +75,15 @@ def pytest_configure_node(self, node):  # xdist hook
 
 def pytest_collect_file(path, parent):
     """Create a MypyFileItem for every file mypy should run on."""
-    if path.ext == '.py' and any([
+    if path.ext in {'.py', '.pyi'} and any([
             parent.config.option.mypy,
             parent.config.option.mypy_ignore_missing_imports,
     ]):
-        return MypyFile.from_parent(parent=parent, fspath=path)
+        # Do not create MypyFile instance for a .py file if a
+        # .pyi file with the same name already exists;
+        # pytest will complain about duplicate modules otherwise
+        if path.ext == '.pyi' or not path.new(ext='.pyi').isfile():
+            return MypyFile.from_parent(parent=parent, fspath=path)
     return None
 
 
diff --git a/tests/test_pytest_mypy.py b/tests/test_pytest_mypy.py
index 789405d..d00e824 100644
--- a/tests/test_pytest_mypy.py
+++ b/tests/test_pytest_mypy.py
@@ -36,6 +36,36 @@ def pyfunc(x: int) -> int:
     assert result.ret == 0
 
 
+def test_mypy_pyi(testdir, xdist_args):
+    """
+    Verify that a .py file will be skipped if
+    a .pyi file exists with the same filename.
+    """
+    # The incorrect signature below should be ignored
+    # as the .pyi file takes priority
+    testdir.makefile(
+        '.py', pyfile='''
+            def pyfunc(x: int) -> str:
+                return x * 2
+        '''
+    )
+
+    testdir.makefile(
+        '.pyi', pyfile='''
+            def pyfunc(x: int) -> int: ...
+        '''
+    )
+
+    result = testdir.runpytest_subprocess(*xdist_args)
+    result.assert_outcomes()
+    result = testdir.runpytest_subprocess('--mypy', *xdist_args)
+    mypy_file_checks = 1
+    mypy_status_check = 1
+    mypy_checks = mypy_file_checks + mypy_status_check
+    result.assert_outcomes(passed=mypy_checks)
+    assert result.ret == 0
+
+
 def test_mypy_error(testdir, xdist_args):
     """Verify that running on a module with type errors fails."""
     testdir.makepyfile('''