Token timeout during docker push

When I do a “docker push” to my container registry, the smaller layers push just fine, but the larger layers take so long that the project access token authentication times out and gives me an authorization error. I can see the documentation for how to change that timeout from the default 5 minutes in the Gitlab software docs, but it doesn’t seem to be changeable as a user of the Gitlab.com site.

Is there any way to refresh this authorization or extend this timeout?