Navigating a double top bar

I've ran into a UX problem in a site I'm designing. I feel like there's an obvious solution but I'm having trouble finding it.

I have a site that has a global sticky bar. In the middle of the site, I have a tabbed navigation component. There are 3 tabs and the windows of each contains kind of lengthy content.

I feel like my users will want to be able to navigate between these tabs without having to swipe back up the page.

I obviously don't want to double stack horizontal sticky bars. I can't replace or edit the global bar at all.

I'm thinking of a collapse to the side option. Or maybe turn it into a carousel with sticky left/right arrows?