The movie Warrior has a scene where Tommy visits his father Paddy.
Paddy: Here you go.
Tommy: Coffee? You haven't seen a guy in 14 years and you're not gonna have a drink with him? Come on.
Paddy: I told you, I'm off it, Tommy. I'm coming up on 1,000 days.
Apparently, I'm coming up on 1,000 days here means "I have been going for 1,000 days without alcohol." I feel like I have seen come up used this way before, but strangely I can't find a dictionary entry for this usage. I have checked come up in Merriam-Webster, The Free Dictionary, Wiktionary, and Macmillan, but this usage isn't included. What does come up mean here exactly and what might some other examples of this usage be?
Google bears out this usage, but there's no credible dictionary source that I am able to find.
Also, what are some other ways of saying "I am coming up on 1,000 days"?