The 32-year-old has made just five appearances for the Scottish Premiership leaders.
The former Chelsea and West Ham striker only signed an 18 month contract at Parkhead in October (via The Scottish Sun), but appears to already feel that the writing is on the wall for his chances of holding down a regular spot in Ronny Deila's side.
The 32-year-old has made just five appearances for the Bhoys, and has not played for the side for a month. And while Nadir Ciftci's recent exit suggested that Cole may receive more of an opportunity in the team, other factors have seemingly hinted that the former England international is unlikely to get enough of a chance to prove what he can do.
First-choice striker Leigh Griffiths has maintained his devastating form - scoring 30 goals in all competitions this season - while Colin Kazim-Richards was signed during the winter window, and went straight into the squad for the club's last three games.
The Scottish Sun suggests however, that with just three out-and-out strikers to pick from, Deila is unlikely to grant Cole an early release, and thus, a departure at the end of the campaign is much more likely.