The England international has fallen out of favour under Jose Mourinho this season, making just seven league appearances for the Red Devils.
Shaw is yet to convince the Portuguese boss of his talent however, and that leaves his future in doubt ahead of the summer transfer window.
Luke Shaw is attracting interest from Tottenham
Manchester United player ratings against Leicester
Sun, February 5, 2017
Express Sport brings you Manchester United's player ratings from their clash with Leicester City
1 of 11
David De Gea – 7
Shaw and Pochettino worked together during their time at Southampton and the Argentine remains a huge admirer of the left-back.
The defender's agent Jonathan Barnett recently stated Shaw was content with life at Old Trafford and willing to fight for his place.
He said: "He is happy at the club.
"Manchester United are very happy with him and he's very happy at Manchester United."
Luke Shaw has made just seven league appearances for the Red Devils this term
Jose Mourinho has been critical of Luke Shaw in recent months
But Shaw needs regular game time if he wants to remain part of Gareth Southgate's England squad and the chance of first-team football at White Hart Lane could be an option that appeals to him.
However, a move to Tottenham would see him compete for a starting spot alongside his Three Lions' team-mate Danny Rose.
Shaw is under contract with the Red Devils until 2018.