Neil Lennon hopes to contact Manchester City over the availability of Bellamy, but admits money may be a stumbling block.
Lennon told the Daily Telegraph: "There is interest, but it is dictated to by finances. I hope to catch up with [City] while they are here and see if we can take it from there."
Bellamy became a popular figure among the Hoops faithful during a successful loan spell in Glasgow six years ago when a Newcastle player.
The 32-year-old was loaned out to Cardiff last season but has since returned to City.