imperfection_ALERT's journey

I recently had an interview with Texas Instruments (TI) and then got approached by NVIDIA. Given the current job market, I wanted to keep my options open, so I applied to both, even though I was feeling a bit insecure about my chances. After the interview with TI, I received positive feedback from a recruiter but no formal offer letter yet. Meanwhile, I interviewed with NVIDIA and they mentioned they would get back to me in a week. Now, I've received an offer letter from TI, but I'm really hoping to land a position at NVIDIA instead. I feel stuck because I don't want to lose the opportunity with TI if NVIDIA doesn't come through. When asked about other interviews during the process, I was honest and said I didn’t have any offers yet, which felt awkward. I have a 60-day notice period at my current job, and I'm wondering if it's common for people to secure multiple offers during a notice period. I'm at the beginning of my career and could really use some advice on how to navigate this situation. If anyone has been in a similar position, I'd appreciate your insights. Thank you!