The Argentine has been earmarked as a potential long term replacement for German manager Ralf Rangnick, who will take up an administrative role at the end of this season.
The 63-year-old was appointed as an interim manager until the summer, and Pochettino is expected to take over from him at the start of the next Premier League season.
The Tottenham Hotspur striker was heavily linked with a move to Manchester City during the summer transfer window, but Daniel Levy refused to sell the England international for a reasonable price.
It will be interesting to see whether the Londoners are prepared to cash in on the striker at the end of this season.
Kane will be determined to play at a higher level so that he can challenge for the major trophies and compete in the Champions League regularly.
The Red Devils will have to secure a top-four finish to lure the player away from Tottenham.
Meanwhile, the Londoners have a decent chance of finishing in the top four. They have improved considerably since the arrival of Antonio Conte, and it remains to be seen whether they can finish the season strongly and secure Champions League football for next season.
It will be no surprise if the top players move on if Tottenham fail to secure a top-four finish.
Manchester United need to bring in a top-class striker, especially with Edinson Cavani expected to leave the club this summer.
Kane is undoubtedly a world-class player, and he has established himself as one of the best goal scorers in English football history.
The England captain is at the peak of his powers right now, and he would be an exceptional signing for Manchester United if the Red Devils can pull it off.