United's 2-1 win over Liverpool in October came at a time when the Merseyside club were enduring a dismal spell, losing nine of 12 matches in all competitions - a run that ultimately ended their hopes of retaining the title under Arne Slot.
The two sides meet again on Sunday at Old Trafford, with Liverpool knowing a win would lift them above United into third place.
Mount, now nearing the end of his third season at the club, believes both the quality and mentality within the squad are strong enough to compete at the top level.
The 27-year-old, who won the Champions League with Chelsea in 2021, admits injuries and competition have restricted him to 69 appearances since his move.
"I have a goal of winning the Premier League," Mount said. "Obviously I've won the Champions League already, but can we (win the league)? Yes, I think we can as a group.
"We have to have that kind of mentality. It may seem a little bit far away, but you have to have that mentality to really push yourself as a group.
"We've shown what we can do against the big teams already - Man City, Liverpool, Chelsea, Arsenal, you know, so we've done it. We've already shown that this season, so we definitely can do it.
"It's about now doing it on a bigger stage in the Champions League and doing it more consistently in the Premier League.
"I'll hopefully be a massive part in that moving forward next season. Yeah, it's a goal: I want to win the Premier League."
Ashley Young will retire from professional football at the end of the season, with Ipswich Town's final Championship fixture on Saturday expected to be the last match of his 23-year career.
Liverpool FC head coach Arne Slot has admitted his side can still reach a much higher level despite winning their last three matches, as Liverpool prepare for a huge Premier League trip to Manchester United on Sunday.
Manchester United have received a major boost ahead of Sunday's Premier League showdown with Liverpool after Matheus Cunha returned to group training on Thursday.
Manchester United midfielder Kobbie Mainoo has signed a new long-term contract with the club after an impressive return to form under manager Michael Carrick.
