Ibrahimovic has the use of United's Carrington training complex when he needs for his rehabilitation and United boss Jose Mourinho has hinted he is open to re-signing him when he is fit enough to play again.
"I think Manchester United will win the Premier League because Mourinho has never failed in a second season", Crespo said in a Q&A via the Mirror.
He suffered ligament damage in his knee in a Europa League match against Anderlecht in April this year and was ruled out for the remainder of the season and at least the first half of the new campaign.
The United boss is aiming higher this time, and wants the 35-year-old to be a part of that effort.
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The United manager had outlined four positions he wanted to strengthen in to executive vice-chairman Ed Woodward at the start of the transfer window, but only Victor Lindelof, Romelu Lukaku and Nemanja Matic have arrived at Old Trafford. "I understand the reality of the market, of the numbers".
'Maybe he'll stay with us, ' Mourinho said before United's Super Cup defeat by Real Madrid. I don't think I am in a position of moaning, crying, contesting or to say I am not happy with it.
"He was very clear, by showing what he did a year ago, that it was not enough for him", Mourinho told reporters on Friday. "It is my 12th year now and I came as a 25-year-old".
"Between the players we have lost and the players we have got, I think we are in a similar situation but with more experience of working together and a much better pre-season". I'll just go with everything I have to try to win every match we play. What we had was midfielders, wingers, scoring, central defenders scoring goals at set pieces. It was the inevitable reaction to feeble title challenges that saw Guardiola's City finish 15 points behind the victorious Chelsea side in third place and Mourinho's United drift over the line nine points further adrift.
"We have a central midfielder and a striker, so obviously another player would be one coming from the sides, but we have players and if we can not strengthen then we have people we trust".
The story also claims that Mourinho has asked Manchester United chief Ed Woodward to fund the deal after "background checks" were made.