Chinese Super League side Beijing Guoan have tabled an £11m offer or the services of 31-year-old Mousa Dembele.
Dembele has been struggling with several injuries this season and is open to the idea of leaving the Lilywhites during the January transfer window.
With Eric Dier and Victor Wanyama nearing respective returns to fitness, and the emergence of Moussa Sissoko, Harry Winks and Oliver Skipp as important options, means Pochettino is spoilt for choice in midfield; thus making Dembele expendable.
According to the Daily Mail, the Belgian international is the subject of an £11m bid from Beijing Guoan, who after finishing fourth in the Chinese Super League last season, are looking to re-build ahead of a title challenge next season.
"I've heard nothing yet. I know like you there are a lot of rumours. If something arrives we are going to listen and then it's what we want to do or the player wants to do, it's about to negotiate, talk, like always it happens in that business."
It is not known if Pochettino will look to find a replacement for Dembele during the current transfer window, but it is understood that funds are available, should the manager need them.