The Hoops find themselves 10 points in arrears of 'Gers after less than a third of the 2011/12 season but Ledley, currently sidelined with a groin injury, says there is enough talent and determination at Parkhead to bridge that gap.
"Obviously the supporters have always been behind us from minute one so I would ask them to keep doing that and I think all of us in the team believe we can do it," he told the club's official website.
"We were disappointed with the results lately but we are all together in this to get back on track. It's still early doors in the beginning of the season so hopefully we can get together and get on a good run.
"There are loads of games left. We still have to play Rangers three times and Hearts three times, so there are still loads of points to go for. It's going to be difficult but there are still loads of games to play."