Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
QPR loanee Tom Carroll wants to "make it at Tottenham" but is prepared to consider all of his options at the end of the season.
Quinn, who played a key role in Rovers' promotion to the Championship, has committed his future to the Keepmoat outfit until the summer of 2015.
The 28-year-old arrived in South Yorkshire last August and made 37 appearances last season.
Rovers have already secured the stay of winger Kyle Bennett and striker Chris Brown on fresh two-year contracts.