Maurizio Sarri has continued to select the France international on a regular basis this season, but has moved him out of his favoured holding role.
That has led to questioning of both men’s future, with Sarri linked with a return to Serie A while the likes of Real Madrid and Paris Saint-Germain cast admiring glances towards Kante.
Sharpe believes United should be in the mix for Kante if the exit door were to be opened, with Ole Gunnar Solskjaer urged to launch one raid on Stamford Bridge while moving former Chelsea stars Romelu Lukaku and Nemanja Matic out.
The ex-Red Devils star told talkSPORT of what is required at Old Trafford this summer: “They have to go out and buy ready-made world-class players.
“They’ve got a few young players who are coming through, [Scott] McTominay looks really good.
“There are a few young players in the team so they need ready-made, experienced, world-class players to put them back on that sort of level and stage.
“I’m not sure it’s really worked out for Lukaku, a world-class centre-forward would be great.
“Defensively they look a little bit uncertain so maybe a centre-half. If I was at United, I’d probably look at swapping Matic, he’s been brilliant but he’s probably lost a yard.
“I’d go out and spend some money and get Kante because they don’t seem to fancy him at Chelsea.”
United’s ability to attract “world-class” talent onto their books will likely rest on the outcome of an ongoing top-four challenge.
Solskjaer’s side, who sit sixth in the Premier League at present, will be back in action on Saturday at home to West Ham, in what is considered to be a must-win game after suffering four defeats in their last five across all competitions.
Sharpe said of the meeting with the Hammers: “It’s a massive game. After the Wolves defeat, they definitely need to win.
“West Ham are a funny side, sometimes they’re great and sometimes they’re totally average.
“I expect United to overrun them and come out comfortable winners. They’re desperate for the win now.”