Partial JWT & Laravel Session Login

I'm wondering if anyone can give any tips or advice on the best approach for tackling a rather complicated, and frustrating issue I am having.

I've started working at a new company and we're in the midst of migrating all our frontend over to Nuxt & Vue, but given the scale of the project we need to do this incrementally. I've started the work, and all seems to be going well except for authenticating a user between Nuxt & Laravel.

I'm using JWT / Bearer Tokens for the Nuxt authentication, and they're using Laravel Sessions (Auth::attempt()) for their old stuff.

My Nuxt project is working fine, I'm able to authenticate using login credentials on the old code base, and I am able to make requests to their API, but the problem I face is a lot of their Controllers aren't accessible as an API, and so rather than re-writing it all right now (albeit that is the plan), I need a rather sleek way of authenticating a user for both the api & web routes at the same time.

I've considered a few options such as storing the authenticated user in Redis, passing session data in the API responses to the login, but I really want to know if anyone here has experience with something similar and has a sleek and nice way on conceptually doing this?

I unfortunately can't provide much code, but if there is something specific you wish to see I may be able to refactor for demonstration purposes.

I appreciate the help any of you could provide. I'm pulling my hair out here.