diff --git a/IMPLEMENTATION_COVERAGE.md b/IMPLEMENTATION_COVERAGE.md
index a5650f572..1451f421a 100644
--- a/IMPLEMENTATION_COVERAGE.md
+++ b/IMPLEMENTATION_COVERAGE.md
@@ -916,7 +916,7 @@
 - [ ] update_auth_event_feedback
 - [ ] update_device_status
 - [ ] update_group
-- [ ] update_identity_provider
+- [x] update_identity_provider
 - [ ] update_resource_server
 - [ ] update_user_attributes
 - [ ] update_user_pool
diff --git a/tests/test_cognitoidp/test_cognitoidp.py b/tests/test_cognitoidp/test_cognitoidp.py
index 5706c9c8d..e4e38e821 100644
--- a/tests/test_cognitoidp/test_cognitoidp.py
+++ b/tests/test_cognitoidp/test_cognitoidp.py
@@ -516,6 +516,50 @@ def test_update_identity_provider():
     result["IdentityProvider"]["ProviderDetails"]["thing"].should.equal(new_value)
 
 
+@mock_cognitoidp
+def test_update_identity_provider_no_user_pool():
+    conn = boto3.client("cognito-idp", "us-west-2")
+
+    new_value = str(uuid.uuid4())
+
+    with assert_raises(conn.exceptions.ResourceNotFoundException) as cm:
+        conn.update_identity_provider(
+            UserPoolId="foo",
+            ProviderName="bar",
+            ProviderDetails={
+                "thing": new_value
+            },
+        )
+
+    cm.exception.operation_name.should.equal('UpdateIdentityProvider')
+    cm.exception.response['Error']['Code'].should.equal('ResourceNotFoundException')
+    cm.exception.response['ResponseMetadata']['HTTPStatusCode'].should.equal(400)
+
+
+@mock_cognitoidp
+def test_update_identity_provider_no_identity_provider():
+    conn = boto3.client("cognito-idp", "us-west-2")
+
+    provider_name = str(uuid.uuid4())
+    provider_type = "Facebook"
+    value = str(uuid.uuid4())
+    new_value = str(uuid.uuid4())
+    user_pool_id = conn.create_user_pool(PoolName=str(uuid.uuid4()))["UserPool"]["Id"]
+
+    with assert_raises(conn.exceptions.ResourceNotFoundException) as cm:
+        conn.update_identity_provider(
+            UserPoolId=user_pool_id,
+            ProviderName="foo",
+            ProviderDetails={
+                "thing": new_value
+            },
+        )
+
+    cm.exception.operation_name.should.equal('UpdateIdentityProvider')
+    cm.exception.response['Error']['Code'].should.equal('ResourceNotFoundException')
+    cm.exception.response['ResponseMetadata']['HTTPStatusCode'].should.equal(400)
+
+
 @mock_cognitoidp
 def test_delete_identity_providers():
     conn = boto3.client("cognito-idp", "us-west-2")