Well, I just gave it another listen. I'm still not sure, but it sounds like you might be referring to the fact that during that middle stretch he's just a bit more "sing-songy" in his alliteration whereas before and after that he has a bit more of a staccatto, machine gun type of delivery. Is that what you're talking about?
If so, you *might* try to fake the staccatto delivery by throwing a few milliseconds of muting inbetween the words during that verse, but I wouldn't imagine the results would be all that much "better" on a quality scale, just different.
Other than that, there's nothing much you can do about that except point it out to him and ask him if he's OK with that take. If not, he'd have to re-do it. It's not a fault of your equipment or your engineering, it's his performance; he recites that verse slightly differently.
And forget what I said about phase. I made a assumption the first time around that you had multiple overdubs of vocals going on there (a traditional hip hop technique), and thought maybe one of the tracks was out of phase with the others. If you're not sure just what that means, let's save that for another thread, because that's a whole 'nother conversation altogether.

But for now, as I listen again, I think you're talking about the vocal delivery itself as I described above, and that is totally unrelated.
Am I even close here or am I still missing the side of the barn?
G.