They haven't won a league game at United since 1989 and have drawn just four times since then.
Vertonghen, who helped Spurs to a first home win against QPR on Sunday, said: "I'm really looking forward to my first game there with Tottenham.
"I think we're strong enough to do nice things there. A lot of players are injured and when everyone is back I think we'll have one of the strongest teams in the league.
"We've played well away from home and we've got a lot of confidence, especially after our first home win."