Kane’s future in North London has come under serious scrutiny in recent weeks as Tottenham Hotspurs struggle to mount a challenge for Champions League football next season and break their 13-year trophy drought.
The 27-year-old England captain has already proclaimed that a decision on his future will be made after this summer’s European Championships.
Potential destinations for Kane include Manchester United, Manchester City and Real Madrid, but Keane believes a move to Old Trafford will be the 2018 World Cup golden boot winner’s preferred destination if he remains in England.
Kane was powerless as United run out 3-1 winners over Jose Mourinho’s men in the Premier League on Sunday.
"For Kane, he’d be looking at this United team today and listen they’ve made progress over the last 12 months and surely Kane must be thinking: ‘I could be the top man at Manchester United up front,” the Red Devils legend told Sky Sports.
"With the service he’d be getting, Kane must fancy United."
Asked if Kane's presence would guarantee an influx of silverware for United, Keane responded: "If Kane is in the United team, as night follows days yeah.
"Manchester United have closed the gap on City and Kane would be another huge step. Maybe Kane doesn’t want to go abroad, Manchester United are still a huge, huge pull."