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 22-year-old striker's three-month stint with the Clarets came to an end after Saturday's 4-0 defeat at Blackpool.
"I think he's done well. He's filled in the various positions, which is the job that we wanted him to do," said Burnley boss Eddie Howe.
"He probably could have scored more than the one goal he got, but I think he can be really pleased with his contribution.
"He's been a joy to work with, he's been very good for the squad, and we wish him well going back to Millwall."