The United manager, asked to guarantee that Pogba would not leave, made clear that he wanted the player to stay, but was cautious beyond about his long-term future.
With second place in the Premier League nearly assured, the final two league fixtures are all but games for Manchester United manager Jose Mourinho to experiment with his line-up ahead of the FA Cup final at Wembley on May 19.
"He doesn't need anything", the United tactician added on the topic of Rashford.
"Of course we can keep", said the Portuguese.
"That's the reason why he was selected for every match of the season - absolutely every match of the season, and that's why he played in so many of them, so he doesn't need to leave to play or to need anything".
After taking on West Ham United at the Olympic Stadium on Thursday, they host Watford on Sunday before starting preparations for their FA Cup final clash with Chelsea on May 19. Not two, three or four - a lot of points.
"I think we need both things that you mentioned", said the 55-year-old, quoted by the Independent.
"I trust some [players] more than others that can bridge that gap".
"In my squad, I have some players where I would like to have better than what I have", he said.
Mourinho will be determined that his side does not suffer another defeat, following last weekend's with the Seagulls and will be telling his players to do all they can to ensure they get the three points on the night.
"And needless to say, some of those players I'm totally convinced will make it".
Mourinho further lauded the values of the 36-year-old, believing it is important to keep the former England worldwide at the club.
In a mixed season, 25-year-old Pogba has still amassed six goals and ten assists from midfield in the Premier League this season, a marked improvement on his end product from his first campaign since rejoining from Juventus in 2016. "Some others I have good hopes that they are going to make it and some others I don't believe they are going to make it".
The United manager did not refer to City directly, but did discuss the advantages of a "perfect squad" where a manager can buy one goalkeeper, then drop him and buy another, as Guardiola has done with Claudio Bravo and Ederson.
While there are definitely players within the United squad who would benefit from moves, it's tough to put Pogba in that bracket.