Kane has been strongly linked with a move away from Spurs, who are outsiders in the race for Champions League football and have failed to pick up a trophy for the 13th consecutive season.
Sheringham, who himself ditched the north London club for United back in 1997, admits Tottenham fans will not like to hear it, but Kane is one of the big names on the market alongside fellow striker Erling Braut Haaland of Borussia Dortmund.
Teddy Sheringham claims Manchester United should try to sign Harry Kane (right) from Spurs
Sheringham (above) quit Spurs for United back in 1997 in order to win more career trophies
‘You’re talking about Harry Kane. He is the top number nine in the world for me,’ Sheringham told bookmakers.co.uk.
‘People talk about Haaland who is a very good youngster coming through with unbelievable promise, but Harry Kane is the best number nine in the world.
‘From a Manchester United point of view, if you can get him, then go get him. Tottenham supporters won’t want to hear that, but they’ve heard it for the last three years – Harry Kane is a big-money player, he’s the best and everybody wants him.’
Kane has been in brilliant form for Tottenham this season, scoring 31 goals and registering 16 assists for Spurs this season and was rewarded for his personal form by winning the Premier League Player of the Year prize at the London Football Awards.
Kane has been in superb form for Tottenham scoring 31 goals and registering 16 more assists
However, Spurs – who sacked Jose Mourinho as manager last month – are sixth in the Premier League, five points behind Chelsea in the final Champions League spot and 24 behind runaway leaders Manchester City.
Tottenham have also been eliminated from all of the cup competitions – the Europa League, FA Cup and Carabao Cup – without success, with the latter seeing Spurs lose 1-0 to City in last month’s League Cup final at Wembley.
Kane himself hinted that he could quit Tottenham should his side not improve, after reports claimed the England captain would leave should Champions League football not be secured for next season.
But Spurs have failed to reward Kane’s personal form with trophies throughout this season
‘Individual awards are great, they are fantastic achievements,’ he said last month.
‘When I look back at the end of my career, I will go over it and take in a little bit more. The goal right now as a player is to win team trophies. As much as this [award] is great, I want to be winning the biggest prizes that there is to offer as a team and we are not quite doing that.
‘It is one of those [situations], it is bittersweet. I would rather be winning team trophies and this award. It is what it is.’