diff --git a/pylint/checkers/classes.py b/pylint/checkers/classes.py
index 079b4ef02e..75416c49d6 100644
--- a/pylint/checkers/classes.py
+++ b/pylint/checkers/classes.py
@@ -842,6 +842,7 @@ def _check_useless_super_delegation(self, function):
 
         # Check values of default args
         klass = function.parent.frame()
+        meth_node = None
         for overridden in klass.local_attr_ancestors(function.name):
             # get astroid for the searched method
             try:
@@ -862,6 +863,16 @@ def _check_useless_super_delegation(self, function):
         # Detect if the parameters are the same as the call's arguments.
         params = _signature_from_arguments(function.args)
         args = _signature_from_call(call)
+
+        if meth_node is not None:
+            def form_annotations(annotations):
+                return [a.name if a is not None else a for a in annotations]
+            called_annotations = form_annotations(function.args.annotations)
+            overridden_annotations = form_annotations(meth_node.args.annotations)
+            if called_annotations and overridden_annotations:
+                if called_annotations != overridden_annotations:
+                    return
+
         if _definition_equivalent_to_call(params, args):
             self.add_message('useless-super-delegation', node=function,
                              args=(function.name, ))
diff --git a/pylint/test/functional/useless_super_delegation_py3.py b/pylint/test/functional/useless_super_delegation_py3.py
index 7060760e02..4cd63a574a 100644
--- a/pylint/test/functional/useless_super_delegation_py3.py
+++ b/pylint/test/functional/useless_super_delegation_py3.py
@@ -14,3 +14,16 @@ class UselessSuper(object):
 
     def useless(self, *, first): # [useless-super-delegation]
         super(UselessSuper, self).useless(first=first)
+
+
+class Egg():
+    def __init__(self, thing: object) -> None:
+        pass
+
+class Spam(Egg):
+    def __init__(self, thing: int) -> None:
+        super().__init__(thing)
+
+class Ham(Egg):
+    def __init__(self, thing: object) -> None: # [useless-super-delegation]
+        super().__init__(thing)
diff --git a/pylint/test/functional/useless_super_delegation_py3.txt b/pylint/test/functional/useless_super_delegation_py3.txt
index 3c7e570dfb..ee5a97df2f 100644
--- a/pylint/test/functional/useless_super_delegation_py3.txt
+++ b/pylint/test/functional/useless_super_delegation_py3.txt
@@ -1 +1,2 @@
 useless-super-delegation:15:UselessSuper.useless:Useless super delegation in method 'useless'
+useless-super-delegation:28:Ham.__init__:Useless super delegation in method '__init__'