diff --git a/graphene/types/tests/test_scalar.py b/graphene/types/tests/test_scalar.py
index db73bea8..2ff67208 100644
--- a/graphene/types/tests/test_scalar.py
+++ b/graphene/types/tests/test_scalar.py
@@ -1,4 +1,5 @@
 from ..scalars import Scalar, Int, BigInt
+from graphql.language.ast import IntValueNode
 
 
 def test_scalar():
@@ -11,10 +12,18 @@ def test_scalar():
 
 def test_ints():
     assert Int.parse_value(2 ** 31 - 1) is not None
+    assert Int.parse_value("2.0") is not None
     assert Int.parse_value(2 ** 31) is None
 
+    assert Int.parse_literal(IntValueNode(value=str(2 ** 31 - 1))) == 2 ** 31 - 1
+    assert Int.parse_literal(IntValueNode(value=str(2 ** 31))) is None
+
     assert Int.parse_value(-(2 ** 31)) is not None
     assert Int.parse_value(-(2 ** 31) - 1) is None
 
     assert BigInt.parse_value(2 ** 31) is not None
+    assert BigInt.parse_value("2.0") is not None
     assert BigInt.parse_value(-(2 ** 31) - 1) is not None
+
+    assert BigInt.parse_literal(IntValueNode(value=str(2 ** 31 - 1))) == 2 ** 31 - 1
+    assert BigInt.parse_literal(IntValueNode(value=str(2 ** 31))) == 2 ** 31