Impossible-Ship5404's journey

I just had my final interview for an in-house legal role at my preferred company, Company A, about an hour ago. During the interview, I learned that it's between me and another candidate who is scheduled to interview later. I currently have an offer from Company B that I need to respond to by tomorrow. I'm considering whether I should inform Company A about this offer and express my strong interest in working there. I'm hoping to understand if this could influence their decision.