Potential employer has delayed final interview due to Sr Manager being unavailable, how to politely put some pressure on?

I hope I phrased my subject correctly, but here's the deal.

Currently going through the final round of interviews with a few potential employers and I know for certain that one of them will be sending me an offer shortly (through a recruiter). However, there is another employer I interviewed with that is closer to where I live, is in the same field I want to work in, and seems interesting. The last interview we had was last week and we were supposed to have a final interview earlier this week but the Senior Manager I was to sit down with has become unavailable all of a sudden due to onboarding of a new director. I sent a polite inquiry at the start of this week asking for an update and they said they are still waiting on this manager, and I said thats fine. However now its almost Friday, and I have not received any word. At this point because I already have a job (that I'm looking to move on from) and know that I have options, I want to figure out how to phrase it to them (politely) that we need to schedule a final interview soon or I'm going to run out of time here. To be clear, I don't know IF I'm going to accept this offer yet as I haven't seen it, but at the same time I do want to see if I can quicken the pace here.

How can I go about doing this, or would it be wise to just stand down and see what happens?

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