The Southampton boss, who could also leave the south coast club, insists the England international is unlikely to leave despite interest from the pair and Manchester City.
Goal understand that Manchester City is readying a 30 million pound bid for the England international, while Manchester United, Chelsea and Spurs have also registered strong interest in the player.
Pochettino insists a decision on Shaw would be made by the club, but he expects his fullback to stay at Southampton.
"At the end of the day, Luke Shaw is a player that belongs to Southampton, and it will be the club that makes the decision as to what happens with his future," he told reporters. "Of course there will be interest for him, but right now he's a player at Southampton and it looks as though it will continue that way.
"There are a lot of players who are under interest, but they are all very happy at the football club, and most of them are under long-term contracts. They understand the situation of what it means to be a professional player in the Premier League.
"There's nothing really we have to speak about on that front. If there is any decision to be made, it is for the owners, not for me."