The Express report Mourinho said: "We always want more".
Mourinho's side still qualified for the Champions League by virtue of winning the Europa League but with Chelsea and Liverpool back in European competition next term after last season's absence, alongside Spurs, Manchester City and Arsenal, the United manager believes no one will hold a specific advantage domestically.
"I'm happy for my goal".
"I'm very happy now". The market is going in such a direction that many players are hard to get, not to say impossible. The market is going into such a direction where many players are hard to get and that is not to say impossible but every club is economically powerful and they don't want to sell or their demands are really high, so the market is hard.
Kompany missed City's entire preseason previous year through injury and he also missed much of the first six months of the season.
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He also said that the players who have come in are the players he wanted, and there's no doubt they will do well.
"For me, it's easy to feel it, because he was my player four years ago or something like that, his evolution was great. If we do the third and forget the fourth, I would be quite happy with that because I know it is hard".
"I will try, but again, I will have to try to deserve that, but that's what I try every day that I work".
"I am happy with them and I know that they will succeed at the club".
The 31-year-old said he has already been impressed by the quality of Walker in the short time that he's been at the club.
Letting another full-back go in the same direction would not only significantly harm Spurs' chances of maintaining their powerful, direct approach next season; it would be an open admission to the rest of the world that United and City, despite finishing below them last season, remain dominant when it comes overall appeal.