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.
The npower Championship strugglers say the two clubs are "close to agreement" on a fee for the 25-year-old centre-back, who new Robins boss Sean O'Driscoll is familiar with from his brief spell in charge of the West Sussex side in the summer.
An Ashton Gate spokesperson told the Evening Post: "The two clubs are close to agreement, but there are still a few small details to be ironed out. Progress is being made but nothing is imminent."
Meanwhile, O'Driscoll has confirmed it is unlikely he will have an assistant manager in place before his first game in charge away at Leeds on Saturday.