diff --git a/moto/apigateway/models.py b/moto/apigateway/models.py
index d520e50ae..eea3cbfeb 100644
--- a/moto/apigateway/models.py
+++ b/moto/apigateway/models.py
@@ -29,7 +29,6 @@ from .exceptions import (
     InvalidIntegrationArn,
     InvalidHttpEndpoint,
     InvalidResourcePathException,
-    InvalidRequestInput,
     AuthorizerNotFoundException,
     StageNotFoundException,
     RoleNotSpecified,
@@ -1099,8 +1098,6 @@ class APIGatewayBackend(BaseBackend):
         response_templates,
         content_handling,
     ):
-        if response_templates is None:
-            raise InvalidRequestInput()
         integration = self.get_integration(function_id, resource_id, method_type)
         integration_response = integration.create_integration_response(
             status_code, selection_pattern, response_templates, content_handling
diff --git a/moto/apigateway/responses.py b/moto/apigateway/responses.py
index 1f7effcea..563db98b7 100644
--- a/moto/apigateway/responses.py
+++ b/moto/apigateway/responses.py
@@ -19,6 +19,7 @@ from .exceptions import (
     RestAPINotFound,
     ModelNotFound,
     ApiKeyValueMinLength,
+    InvalidRequestInput,
 )
 
 API_KEY_SOURCES = ["AUTHORIZER", "HEADER"]
@@ -369,6 +370,9 @@ class APIGatewayResponse(BaseResponse):
                     function_id, resource_id, method_type, status_code
                 )
             elif self.method == "PUT":
+                if not self.body:
+                    raise InvalidRequestInput()
+
                 selection_pattern = self._get_param("selectionPattern")
                 response_templates = self._get_param("responseTemplates")
                 content_handling = self._get_param("contentHandling")
diff --git a/tests/test_apigateway/test_apigateway.py b/tests/test_apigateway/test_apigateway.py
index 481c39bfb..090e30f9b 100644
--- a/tests/test_apigateway/test_apigateway.py
+++ b/tests/test_apigateway/test_apigateway.py
@@ -1279,6 +1279,7 @@ def test_put_integration_response_requires_responseTemplate():
         )
     ex.value.response["Error"]["Code"].should.equal("BadRequestException")
     ex.value.response["Error"]["Message"].should.equal("Invalid request input")
+
     # Works fine if responseTemplate is defined
     client.put_integration_response(
         restApiId=api_id,