diff --git a/graphene/types/tests/test_abstracttype.py b/graphene/types/tests/test_abstracttype.py
index b1bcaa3f..6484deb8 100644
--- a/graphene/types/tests/test_abstracttype.py
+++ b/graphene/types/tests/test_abstracttype.py
@@ -23,7 +23,7 @@ def test_abstract_objecttype_warn_deprecation(mocker):
     class MyAbstractType(AbstractType):
         field1 = MyScalar()
 
-    abstracttype.warn_deprecation.assert_called_once()
+    assert abstracttype.warn_deprecation.called
 
 
 def test_generate_objecttype_inherit_abstracttype():
diff --git a/graphene/types/tests/test_query.py b/graphene/types/tests/test_query.py
index ebc78c1d..4adcedf9 100644
--- a/graphene/types/tests/test_query.py
+++ b/graphene/types/tests/test_query.py
@@ -420,16 +420,16 @@ def test_query_annotated_resolvers():
         context = String()
         info = String()
 
-        @annotate
+        @annotate(_trigger_warning=False)
         def resolve_annotated(self, id):
             return "{}-{}".format(self, id)
 
-        @annotate(context=Context)
+        @annotate(context=Context, _trigger_warning=False)
         def resolve_context(self, context):
             assert isinstance(context, Context)
             return "{}-{}".format(self, context.key)
 
-        @annotate(info=ResolveInfo)
+        @annotate(info=ResolveInfo, _trigger_warning=False)
         def resolve_info(self, info):
             assert isinstance(info, ResolveInfo)
             return "{}-{}".format(self, info.field_name)
diff --git a/graphene/utils/resolve_only_args.py b/graphene/utils/resolve_only_args.py
index e30f1f03..0856ffcc 100644
--- a/graphene/utils/resolve_only_args.py
+++ b/graphene/utils/resolve_only_args.py
@@ -4,12 +4,10 @@ from .deprecated import deprecated
 
 if PY2:
     deprecation_reason = (
-        'The decorator @resolve_only_args is deprecated.\n'
         'Please use @annotate instead.'
     )
 else:
     deprecation_reason = (
-        'The decorator @resolve_only_args is deprecated.\n'
         'Please use Python 3 type annotations instead. Read more: '
         'https://docs.python.org/3/library/typing.html'
     )
diff --git a/graphene/utils/tests/test_annotate.py b/graphene/utils/tests/test_annotate.py
index f213919a..760a8bf5 100644
--- a/graphene/utils/tests/test_annotate.py
+++ b/graphene/utils/tests/test_annotate.py
@@ -17,17 +17,17 @@ func_with_annotations.__annotations__ = annotations
 
 
 def test_annotate_with_no_params():
-    annotated_func = annotate(func)
+    annotated_func = annotate(func, _trigger_warning=False)
     assert annotated_func.__annotations__ == {}
 
 
 def test_annotate_with_params():
-    annotated_func = annotate(**annotations)(func)
+    annotated_func = annotate(_trigger_warning=False, **annotations)(func)
     assert annotated_func.__annotations__ == annotations
 
 
 def test_annotate_with_wront_params():
     with pytest.raises(Exception) as exc_info:
-        annotated_func = annotate(p=int)(func)
+        annotated_func = annotate(p=int, _trigger_warning=False)(func)
 
     assert str(exc_info.value) == 'The key p is not a function parameter in the function "func".'
diff --git a/graphene/utils/tests/test_resolve_only_args.py b/graphene/utils/tests/test_resolve_only_args.py
index d0d06e51..a3090c3a 100644
--- a/graphene/utils/tests/test_resolve_only_args.py
+++ b/graphene/utils/tests/test_resolve_only_args.py
@@ -10,4 +10,4 @@ def test_resolve_only_args(mocker):
     my_data = {'one': 1, 'two': 2}
 
     wrapped = resolve_only_args(resolver)
-    deprecated.warn_deprecation.assert_called_once()
+    assert deprecated.warn_deprecation.called