The ex-Chelsea boss has confirmed the Croatian play-maker can leave for the right price and his departure seems inevitable with Real Madrid his likely destination.
Spurs have already bolstered their midfield this season with the arrival of £8 million Icelander Gylfi Sigurdsson, tied down Gareth Bale to a new four-year contract and will spend again should Modric leave.
Rose, who made 20 appearances last term, will therefore find first-team opportunities limited again this season and will miss Tottenham’s pre-season while on Olympic duty with Team GB.
The 22-year-old has been loaned out three times by Spurs and had agreed with Harry Redknapp to go on loan to other Premier League club – but AVB’s arrival means Rose cannot plan beyond the Olympics.
“I think the new manager is a brilliant appointment and it shows the intentions of the club," said Rose.
“I think the chairman [Daniel Levy] wants to go that next step forward which is understandable. I know we have been linked with a few decent players so hopefully we can sign them – and keep Luka as well.
“That’s looking a bit unlikely but if we don’t I hope the manager can attract some big names and take the club forward.
“I do want to impress the new manager at the Games, but at the same time, it had been agreed by Spurs that I could go on a season-long loan to the Premier League, but that was before Redknapp got sacked. I don’t know what’s going to happen now.
“I’ve just got to do well for myself, for Team GB and Tottenham, and see what happens when I get back to Spurs.
“I want to stay at Tottenham, but the last couple of seasons, I’ve been on the bench more than I’ve started.”
Rose had hoped to team up with Bale at the Olympics but after the Welshman penned a new deal, the former Southampton man will still be at White Hart Lane when he returns.
Bale’s new contract makes Rose’s task of breaking into the Spurs side all the more difficult, but he insists he’s happy to see the wing wizard staying put.
He added: "It’s brilliant for the fans and us (players) as well.
“For the last two or three seasons Gareth has been the main man and it is great he has signed (for) another four years.”