diff --git a/packages/@aws-cdk/aws-elasticsearch/lib/log-group-resource-policy.ts b/packages/@aws-cdk/aws-elasticsearch/lib/log-group-resource-policy.ts
index 0a88658e1cf42..0fd9c98464335 100644
--- a/packages/@aws-cdk/aws-elasticsearch/lib/log-group-resource-policy.ts
+++ b/packages/@aws-cdk/aws-elasticsearch/lib/log-group-resource-policy.ts
@@ -42,7 +42,7 @@ export class LogGroupResourcePolicy extends cr.AwsCustomResource {
         parameters: {
           policyName: props.policyName,
         },
-        ignoreErrorCodesMatching: '400',
+        ignoreErrorCodesMatching: 'ResourceNotFoundException',
       },
       policy: cr.AwsCustomResourcePolicy.fromSdkCalls({ resources: ['*'] }),
     });
diff --git a/packages/@aws-cdk/aws-opensearchservice/lib/log-group-resource-policy.ts b/packages/@aws-cdk/aws-opensearchservice/lib/log-group-resource-policy.ts
index 0a88658e1cf42..0fd9c98464335 100644
--- a/packages/@aws-cdk/aws-opensearchservice/lib/log-group-resource-policy.ts
+++ b/packages/@aws-cdk/aws-opensearchservice/lib/log-group-resource-policy.ts
@@ -42,7 +42,7 @@ export class LogGroupResourcePolicy extends cr.AwsCustomResource {
         parameters: {
           policyName: props.policyName,
         },
-        ignoreErrorCodesMatching: '400',
+        ignoreErrorCodesMatching: 'ResourceNotFoundException',
       },
       policy: cr.AwsCustomResourcePolicy.fromSdkCalls({ resources: ['*'] }),
     });