The potential issue I see if they don't is that they lose to Utd but Spurs then lose to Chelsea on Monday. Then the title gets won when the winning team aren't even playing and it just... that would suck. it sucks for the fans, it sucks for the players. You want them and the fans to be at a ground and able to go mental and have that atmosphere. Even if they lose the game it doesn't really matter you still get that in stadium moment of winning the title with the fans.
Regardless of how good Utd are as well they've won over half the premier league titles, they are the face of the premier league, there is no better place to win it really than going away and winning it at the home of the team with the most prem league titles.
If Utd win, Spurs better damn well win.