Is it unprofessional to inquire about potential gigs through current team members?

Howdy!

For context, I landed my first game audio composition + sound design gig this past summer after years of grinding and casting nets. I love the team, I love the concept, and it's been awesome so far and crystalized the idea that this is more or less the main path for what I want my career to be. That said, I've been juggling it with two day jobs from Monday to Friday (~40hrs/wk), essentially putting in a ton of work on the game on weekends. And even though I truly respect and appreciate the people I work with, it's just not sustainable and it's driving me kinda crazy, especially now that I've achieved a tangible taste of my dream. I don't have nearly enough time to practice my instruments or have a semblance of balance in my life due to effectively working 7 days a week.

I know it might have to be like this for a short amount of time, but I'd like to transition to full time music as soon as possible, so that leads me to the question:

Is it unprofessional to ask the devs/artists on our team if they know of any other projects looking for audio peeps? It's a very small team (>10 people), we all get along super well, and they genuinely love what I've done so far and give really great feedback (especially when a draft for something doesn't QUITE fit) but I don't want to overstep the boundaries of our relatively short relationship. I feel this is the foundation for my career, and the start of something really cool with my team, but I wanted to get some sound advice from other composers before goin' straight to asking.

Thanks for everything y'all! This community has been immensely helpful already, and I can't thank you enough.