The Dutch boss claims that QPR are know they will have to look for a replacement for Green soon, as the former England international has reached the twilight of his career.
"He's got a contract for six more months and that's what it is," Hasselbaink said. "Eventually, we need to get a younger goalkeeper because he's 35 years old.
"We as a club are going in a different direction, but Rob Green has been and is still a great servant of the club."
Green has been a regular starter for QPR so far this season, but his performances have been erratic.
The experienced stopper made a high profile error against Nottingham Forest earlier in the campaign, and he also was guilty of making a mishap in Rangers’ latest Championship match against Hull City.
QPR had looked to be on their way to collecting a point against the Tigers, but Green failed to deal with a cross in the last minute, and allowed Steve Bruce’s men to steal a 2-1 win.
Green was left out of QPR’s squad to face Forest in the FA Cup at the weekend due to illness.
The Mail suggest that Bournemouth are one of the teams interested in signing the former West Ham United man.