diff --git a/pyupgrade.py b/pyupgrade.py
index 6b84e939..9b16c591 100644
--- a/pyupgrade.py
+++ b/pyupgrade.py
@@ -1207,7 +1207,7 @@ class ClassInfo:
         def __init__(self, node: ast.ClassDef) -> None:
             self.bases = node.bases
             self.name = node.name
-            self.def_depth = 0
+            self.def_names: List[str] = []
             self.first_arg_name = ''
 
     class Scope:
@@ -1397,13 +1397,14 @@ def _track_def_depth(
             node: AnyFunctionDef,
     ) -> Generator[None, None, None]:
         class_info = self._class_info_stack[-1]
-        class_info.def_depth += 1
-        if class_info.def_depth == 1 and node.args.args:
+        def_name = '' if isinstance(node, ast.Lambda) else node.name
+        class_info.def_names.append(def_name)
+        if len(class_info.def_names) == 1 and node.args.args:
             class_info.first_arg_name = node.args.args[0].arg
         try:
             yield
         finally:
-            class_info.def_depth -= 1
+            class_info.def_names.pop()
 
     @contextlib.contextmanager
     def _scope(self) -> Generator[None, None, None]:
@@ -1543,7 +1544,7 @@ def visit_Call(self, node: ast.Call) -> None:
         elif (
                 not self._in_comp and
                 self._class_info_stack and
-                self._class_info_stack[-1].def_depth == 1 and
+                len(self._class_info_stack[-1].def_names) == 1 and
                 isinstance(node.func, ast.Name) and
                 node.func.id == 'super' and
                 len(node.args) == 2 and
@@ -1556,13 +1557,14 @@ def visit_Call(self, node: ast.Call) -> None:
         elif (
                 not self._in_comp and
                 self._class_info_stack and
-                self._class_info_stack[-1].def_depth == 1 and
+                len(self._class_info_stack[-1].def_names) == 1 and
                 len(self._class_info_stack[-1].bases) == 1 and
                 _is_simple_base(self._class_info_stack[-1].bases[0]) and
                 isinstance(node.func, ast.Attribute) and
                 targets_same(
                     self._class_info_stack[-1].bases[0], node.func.value,
                 ) and
+                node.func.attr == self._class_info_stack[-1].def_names[0] and
                 len(node.args) >= 1 and
                 isinstance(node.args[0], ast.Name) and
                 node.args[0].id == self._class_info_stack[-1].first_arg_name
diff --git a/tests/super_test.py b/tests/super_test.py
index 95eba81e..377dfa43 100644
--- a/tests/super_test.py
+++ b/tests/super_test.py
@@ -172,6 +172,15 @@ def test_fix_super(s, expected):
             '        a().b.f(self)\n',
             id='non simple attribute base',
         ),
+        pytest.param(
+            'class C:\n'
+            '    @classmethod\n'
+            '    def make(cls, instance):\n'
+            '        ...\n'
+            'class D(C):\n'
+            '   def find(self):\n'
+            '        return C.make(self)\n',
+        ),
     ),
 )
 def test_old_style_class_super_noop(s):