From Longman Dictionary of Contemporary Englishcome up to something/somebody phrasal verb1 REACHto reach a particular standard or to be as good as you expected This doesn’t come up to the standard of your usual work. The resort certainly failed to come up to expectations.2 be (just) coming up to something to be nearly a particular time It’s just coming up to 11 o'clock. → come→ See Verb table
Examples from the Corpus
be (just) coming up to something• Manion was coming up to his freeway exit.• He had a horrible premonition that she was coming up to Rome.• A period when he was almost dead is coming up to the surface.