The 28-year-old has been linked with a move to Old Trafford in recent months, and Ole Gunnar Solskjaer may view the Mexican as a good option.
Marcus Rashford and Anthony Martial are United’s only recognised strikers following the departure of Romelu Lukaku six months ago.
The Wolves forward has scored 20 goals in 38 matches this season, including nine assists, but Lescott has warned the Mexican that the grass may not be greener on the other side.
“The interest in Jimenez doesn’t surprise me, he’s performed consistently over the past two seasons and that’s the key,” Lescott told the Grand National.
“He’s not just coming in and having good periods then going cold again.
“He’s consistently done well for the team and scored goals and proving to be a lot more than just a goal scorer.
“Obviously he is their top goal scorer since he’s been there but he’s absolutely vital to the way they play.
“There will, of course, be interest in him as he’s such a good player, I suppose it just depends on how realistic this interest is.”
Nuno Espirito Santo’s side are ninth in the Premier League table, level on points with eight-placed United.
Lescott added: “For example, if it’s Chelsea, then you may look to them as more of a possibility of playing Champions League.
“Whereas if you look at interest from Man United, and you look at the team’s current success – are Man United better than Wolves?
“Are they guaranteed to finish higher than Wolves next season? Who knows!
“Manchester United are a big club, but the best players want to play against the best players and you do that by playing in the Champions League.”
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