With tough league games coming up over the next fortnight, Villas-Boas knows his team must not let their eight-match unbeaten run come to an end.
"The United game was a good reference point for us, but it does not stop here," the 35-year-old said.
"We have taken a few points off Manchester United this season but it's against the other teams that you define your position in the league.
"We have two away games in the league now against West Brom and Norwich.
"It is going to be extremely difficult and hopefully we can continue showing these performances."