Bednar suffered the injury moments after scoring his first goal for the club against Leicester last Tuesday and, although scans have confirmed boss Ian Holloway's worst fears, the full extent of the problem is not yet known due to heavy bruising around the joint.
Nevertheless, the 28-year-old is still hoping to add to his nine appearances for the club as the Seasiders chase a play-off berth over the last seven games of the season.
"It has been stop-start since I came here and that is annoying because I am really enjoying my time at the club," he told the Blackpool Gazette.
"I like the lads here and get on well with the gaffer, and all I want to do is play for the team and try to get the club promoted. The supporters are amazing and the atmosphere at home games is terrific.
"It was great to get that first goal but the injury just ruined the night. I can only hope that it turns out not to be too serious and that I can come back before the end of the season."