Just don't see it, not until the summer anyway.
Man United are too much of a rebuilding job that he's already spent the last few years doing.
They need to sack Woodward and get something going like we've got with Silva and Brands. Eddie Howe is the sort of manager they need to go for but they'll end up with Zidane who is all about short term success.
Man United will probably have to make a move long before end of the season though. Then it becomes a question of would he miss out and that seat gets filled for another couple of years by say a Zidane?
They do need different people behind the scenes absolutely but that probably would happen in the summer. I think they have made noises about getting Monchi from Roma.
I'm sure it'd not be an easy decision for Pochettino, but the PL isn't equal. The resources aren't equal. That'll be the case at Spurs for a long time yet with their stadium costs. If he wants to really compete every season for the title, he's a far better chance doing it with the resources he'd have at Man United.