diff --git a/AUTHORS b/AUTHORS
index ceb19559e50..2f50a295065 100644
--- a/AUTHORS
+++ b/AUTHORS
@@ -348,6 +348,7 @@ Thomas Grainger
 Thomas Hisch
 Tim Hoffmann
 Tim Strazny
+TJ Bruno
 Tobias Diez
 Tom Dalton
 Tom Viner
diff --git a/changelog/10597.bugfix.rst b/changelog/10597.bugfix.rst
new file mode 100644
index 00000000000..9070e74a310
--- /dev/null
+++ b/changelog/10597.bugfix.rst
@@ -0,0 +1 @@
+Fix bug where a fixture method named ``teardown`` would be called as part of ``nose`` teardown stage.
diff --git a/src/_pytest/python.py b/src/_pytest/python.py
index b24a3803eb8..62c31b0f4a3 100644
--- a/src/_pytest/python.py
+++ b/src/_pytest/python.py
@@ -847,7 +847,7 @@ def _inject_setup_class_fixture(self) -> None:
         other fixtures (#517).
         """
         setup_class = _get_first_non_fixture_func(self.obj, ("setup_class",))
-        teardown_class = getattr(self.obj, "teardown_class", None)
+        teardown_class = _get_first_non_fixture_func(self.obj, ("teardown_class",))
         if setup_class is None and teardown_class is None:
             return
 
@@ -884,12 +884,12 @@ def _inject_setup_method_fixture(self) -> None:
             emit_nose_setup_warning = True
             setup_method = _get_first_non_fixture_func(self.obj, (setup_name,))
         teardown_name = "teardown_method"
-        teardown_method = getattr(self.obj, teardown_name, None)
+        teardown_method = _get_first_non_fixture_func(self.obj, (teardown_name,))
         emit_nose_teardown_warning = False
         if teardown_method is None and has_nose:
             teardown_name = "teardown"
             emit_nose_teardown_warning = True
-            teardown_method = getattr(self.obj, teardown_name, None)
+            teardown_method = _get_first_non_fixture_func(self.obj, (teardown_name,))
         if setup_method is None and teardown_method is None:
             return
 
diff --git a/testing/test_nose.py b/testing/test_nose.py
index 92d6b95fd87..e838e79ddd5 100644
--- a/testing/test_nose.py
+++ b/testing/test_nose.py
@@ -496,3 +496,24 @@ def test_it():
     )
     result = pytester.runpytest(p, "-p", "nose")
     assert result.ret == 0
+
+
+@pytest.mark.parametrize("fixture_name", ("teardown", "teardown_class"))
+def test_teardown_fixture_not_called_directly(fixture_name, pytester: Pytester) -> None:
+    """Regression test for #10597."""
+    p = pytester.makepyfile(
+        f"""
+        import pytest
+
+        class TestHello:
+
+            @pytest.fixture
+            def {fixture_name}(self):
+                yield
+
+            def test_hello(self, {fixture_name}):
+                assert True
+        """
+    )
+    result = pytester.runpytest(p, "-p", "nose")
+    assert result.ret == 0