Possible to create issue in Github, and not create public share link?

We have a Github private repository connected to Sentry so that we can create issues in Github directly from issues in Sentry.

Our Github issue repository is private and our Sentry issues are intended to be private also - only people who can see Sentry can see Github issues and vice versa. We don’t want public link sharing.

Is there a way to turn off public link creation, and have Github issues be created with only the private URLs to Sentry issues?