The 25-year old goalkeeper continues to be linked with a Parkhead exit as he seeks to force his way into the England squad ahead of next year's World Cup.
However, the former Newcastle United gloveman says he is intent on going another run in the Champions League just as the Glasgow giants did last season in reaching the Round of 16.
"Just coming back here to be honest," he said when asked what his plans for the future are. "I've got a while left on my contract.
"It's just important I come back fit and ready for the Champions League.
"The Champions League is important for us generally and it's important for me to be trying to force my way into the squad for the World Cup.
"It's just important I do whatever I can next season to get on that plane."