Sky Sports reports how the 23-year-old midfielder has been heavily linked with a move to the Premier League, after a series of impressive performances in the Eredivisie over the past few seasons.
Red Devils boss Sir Alex Ferguson is a long-term admirer of Strootman's, with the Holland international rumoured to be on his way to Old Trafford last summer.
However, with the 71-year-old Scot set to retire at the end of the season it's unclear whether Manchester United will still be interested by the time the transfer window reopens on July 1.
Spurs boss Andre Villas-Boas is also understood to be monitoring the player's situation at PSV, as he weighs up a rival bid in an attempt to lure him to White Hart Lane ahead of the 2013/14 campaign.
Liverpool complete the trio of interested Premier League parties, with Brendan Rodgers also credited with an interest in Strootman's services, as he too looks to strengthen his Anfield ranks this summer.
"For PSV it would be good if he stays, but for Strootman himself it's better to leave," Advocaat told De Telegraaf. "He's the reserve captain of the Dutch national squad and PSV will make another step next season.
"This guy fits everywhere. He's a fantastic player because he knows exactly what his qualities are."
Advocaat talked up Strootman's ability, ahead of a wave of enquiries he is expecting for one of his star players at the end of the season, and said that he would be a huge success in the Premier League.
"[He would be good for] Liverpool and Tottenham, but I think he's also good enough for Manchester City and Manchester United," added the PSV manager.
"Strootman is as good as Gareth Barry. He's a very useful player for every team. Especially when he's surrounded by better players."