diff --git a/tests/test_util_inspect.py b/tests/test_util_inspect.py
index 34844c9bf..2d61aa3e1 100644
--- a/tests/test_util_inspect.py
+++ b/tests/test_util_inspect.py
@@ -20,76 +20,6 @@ from sphinx.util import inspect
 from sphinx.util.inspect import stringify_signature
 
 
-def test_getargspec():
-    def func(a, b, c=1, d=2, *e, **f):
-        pass
-
-    spec = inspect.getargspec(func)
-    assert spec.args == ['a', 'b', 'c', 'd']
-    assert spec.varargs == 'e'
-    assert spec.varkw == 'f'
-    assert spec.defaults == (1, 2)
-    assert spec.kwonlyargs == []
-    assert spec.kwonlydefaults is None
-    assert spec.annotations == {}
-
-
-def test_getargspec_partial():
-    def func1(a, b, c=1, d=2, *e, **f):
-        pass
-
-    partial = functools.partial(func1, 10, c=11)
-    spec = inspect.getargspec(partial)
-    assert spec.args == ['b']
-    assert spec.varargs is None
-    assert spec.varkw == 'f'
-    assert spec.defaults is None
-    assert spec.kwonlyargs == ['c', 'd']
-    assert spec.kwonlydefaults == {'c': 11, 'd': 2}
-    assert spec.annotations == {}
-
-
-def test_getargspec_partial2():
-    def fun(a, b, c=1, d=2):
-        pass
-    p = functools.partial(fun, 10, c=11)
-
-    def f_expected(b, *, c=11, d=2):
-        pass
-    expected = inspect.getargspec(f_expected)
-
-    assert expected == inspect.getargspec(p)
-
-
-def test_getargspec_builtin_type():
-    with pytest.raises(TypeError):
-        inspect.getargspec(int)
-
-
-def test_getargspec_bound_methods():
-    def f_expected_unbound(self, arg1, **kwargs):
-        pass
-    expected_unbound = inspect.getargspec(f_expected_unbound)
-
-    def f_expected_bound(arg1, **kwargs):
-        pass
-    expected_bound = inspect.getargspec(f_expected_bound)
-
-    class Foo:
-        def method(self, arg1, **kwargs):
-            pass
-
-    bound_method = Foo().method
-
-    @functools.wraps(bound_method)
-    def wrapped_bound_method(*args, **kwargs):
-        pass
-
-    assert expected_unbound == inspect.getargspec(Foo.method)
-    assert expected_bound == inspect.getargspec(bound_method)
-    assert expected_bound == inspect.getargspec(wrapped_bound_method)
-
-
 def test_signature():
     # literals
     with pytest.raises(TypeError):