QPR have given Jack Robinson until the end of next week to make a final decision on whether he will sign a new contract at Loftus Road.
The defender, whose current deal expires this summer, has indicated that he believes he can secure a move elsewhere after enjoying an impressive season.
Rangers have responded by warning Robinson not to assume their offer will still be on the table if he does not join another club.
Robinson, 24, was signed from Liverpool in 2014 and immediately loaned to Huddersfield, where he suffered a serious knee injury in March the following year.
Having struggled to regain fitness, last summer he was told he was not in Rangers boss Ian Holloway’s plans and could leave.
However, he rejected potential loan moves and QPR’s defensive injury problems resulted in Robinson, primarily a left-back, being deployed as a central defender.
He performed well in the role and has made 34 appearances this season, but appears to have played his last game for the club.
Meanwhile, QPR are taking up an option to extend Aramide Oteh’s contract by a year, while Osman Kakay is among several youngsters to be offered a new 12-month deal.
Striker Oteh, signed last year after being released by Tottenham, has impressed at Rangers and scored at Burton in January on his full debut.
Another ex-Spurs youngster, Charlie Owens, has also been offered the chance to stay, as have Chay Tilt, Ody Alfa, Hugo Cardoso, Deshane Dalling, Charlie Fox, Giles Phillips, Jack Williams and goalkeepers Marcin Brzozowski and Seny Dieng.
But Chris Paul and Zenon Stylianides – also both picked up after being released by Spurs – are being released along with keeper Conor Hunott, who was previously with Chelsea, Brandon Adams, Romeo Akinola, Alex Finney and Josh Wallen.
QPR have given third-year scholarship deals to seven of their academy players, while six have been released by the club.
Mus Dauti, Daniel Disubi, Jardel Francis-Adeyinka, Ethan Kaiser, Gilbert Miller and Leandro Ribeiro Mateus are to leave Rangers.
But Amrit Bansal-McNulty, Faysal Bettache, Myles Bowman, Caden Genovesi, Kraig Noel-McLeod, Aiden Mesias and Mickel Platt have all had their scholarships extended by another year.
Technical director Chris Ramsey told the club website: “One of the hardest jobs at this level is telling these young boys that we won’t be retaining them.
“They have all worked tremendously hard and we wish them the very best in their future careers. Naturally, we as a club will be doing all we can to help them with their next steps.”