GDPR and cookies from other domains

I am using a third-party analysis tool that sets up a cookie to track the user for analytical purposes (to track conversions) as soon as the user arrives on the page. The analysis service does not store any personal information of that user such as name, age, etc.

The trick is that the cookie is set in a different domain (the domain of the analysis tool). Would the banner "this site uses cookies …" suffice on my site in this case?