Celtic manager Neil Lennon has confirmed that Southampton have enquired about Kris Commons while there is also interest in Ki Sung-Yueng.
Commons, who joined Celtic a year ago, has missed much of the season with injury but Ki has played regularly.
"I'm aware of interest but I'm not aware of any offers," Lennon said of South Korean Ki.
"I think there is interest from Southampton in Kris. I will try and fend off any offers that come in."
Lennon hopes Commons' imminent return to fitness can boost his squad.
"To have him back for the second half of the season is a huge bonus," said the Celtic boss.
"He came in at this time last year and scored 14 in 18 so it's like having a new player.
"I want to keep all my players here. Everyone has their price but it would have to be a huge, huge offer for us to even consider it.
"It doesn't surprise me that a number of clubs are looking at [Ki] and various other players but, for me, they would be wasting their time."
The signing of Mikael Lustig has bolstered Lennon's defensive options and the club may do further business in the January transfer window.
"There are a number of players interesting us in a couple of positions," added Lennon. "I'm not in a position to talk about any individuals.
"I'm happy with the squad. We've got strength in depth and we have Kris Commons and Glenn Loovens a week away from full training and Mark Wilson, who has made a great recovery, two weeks away.
"Allied to that, we have Lustig in there who is not far away from being fit.
"We are obviously looking to improve the squad but if we can't, it won't be a disaster.
"There is no pressure on me to trim the squad at all.
"There may be players who want to go and play or move on for personal reasons, get some game time elsewhere, but no one has come knocking on my door yet."