diff --git a/graphene/types/datetime.py b/graphene/types/datetime.py
index 92234ba6..d4f74470 100644
--- a/graphene/types/datetime.py
+++ b/graphene/types/datetime.py
@@ -25,7 +25,7 @@ class Date(Scalar):
         return date.isoformat()
 
     @classmethod
-    def parse_literal(cls, node):
+    def parse_literal(cls, node, _variables=None):
         if not isinstance(node, StringValueNode):
             raise GraphQLError(
                 f"Date cannot represent non-string value: {print_ast(node)}"
@@ -58,7 +58,7 @@ class DateTime(Scalar):
         return dt.isoformat()
 
     @classmethod
-    def parse_literal(cls, node):
+    def parse_literal(cls, node, _variables=None):
         if not isinstance(node, StringValueNode):
             raise GraphQLError(
                 f"DateTime cannot represent non-string value: {print_ast(node)}"
@@ -93,7 +93,7 @@ class Time(Scalar):
         return time.isoformat()
 
     @classmethod
-    def parse_literal(cls, node):
+    def parse_literal(cls, node, _variables=None):
         if not isinstance(node, StringValueNode):
             raise GraphQLError(
                 f"Time cannot represent non-string value: {print_ast(node)}"
diff --git a/graphene/types/tests/test_datetime.py b/graphene/types/tests/test_datetime.py
index 6a3241a1..74f88bd8 100644
--- a/graphene/types/tests/test_datetime.py
+++ b/graphene/types/tests/test_datetime.py
@@ -60,6 +60,23 @@ def test_datetime_query(sample_datetime):
     assert result.data == {"datetime": isoformat}
 
 
+def test_datetime_query_with_variables(sample_datetime):
+    isoformat = sample_datetime.isoformat()
+
+    result = schema.execute(
+        """
+        query GetDate($datetime: DateTime) {
+          literal: datetime(in: "%s")
+          value: datetime(in: $datetime)
+        }
+        """
+        % isoformat,
+        variable_values={"datetime": isoformat},
+    )
+    assert not result.errors
+    assert result.data == {"literal": isoformat, "value": isoformat}
+
+
 def test_date_query(sample_date):
     isoformat = sample_date.isoformat()
 
@@ -68,6 +85,23 @@ def test_date_query(sample_date):
     assert result.data == {"date": isoformat}
 
 
+def test_date_query_with_variables(sample_date):
+    isoformat = sample_date.isoformat()
+
+    result = schema.execute(
+        """
+        query GetDate($date: Date) {
+          literal: date(in: "%s")
+          value: date(in: $date)
+        }
+        """
+        % isoformat,
+        variable_values={"date": isoformat},
+    )
+    assert not result.errors
+    assert result.data == {"literal": isoformat, "value": isoformat}
+
+
 def test_time_query(sample_time):
     isoformat = sample_time.isoformat()
 
@@ -76,6 +110,23 @@ def test_time_query(sample_time):
     assert result.data == {"time": isoformat}
 
 
+def test_time_query_with_variables(sample_time):
+    isoformat = sample_time.isoformat()
+
+    result = schema.execute(
+        """
+        query GetTime($time: Time) {
+          literal: time(at: "%s")
+          value: time(at: $time)
+        }
+        """
+        % isoformat,
+        variable_values={"time": isoformat},
+    )
+    assert not result.errors
+    assert result.data == {"literal": isoformat, "value": isoformat}
+
+
 def test_bad_datetime_query():
     not_a_date = "Some string that's not a datetime"