Gordon took more than two years to return to full competitive action when signing with Celtic last summer and has gone onto help the Glasgow club win the Scottish Premiership while landing the Scottish Football Writers' Association Player of the Year by the for the second time in his career.
Of his rebirth, Gordon said: "I hope I can play for as long as I can.
"I seen what it looks like not playing. Although it was nice spending time at home with my two young girls, you want to play football for as long as you can.
"I'd like to try keep playing until I'm 40. I could have a while yet. I don't see me moving on from Celtic, certainly not at the moment.
"I'm very happy here and the manager has been great with me. We've got a really good relationship and I work very well with Stevie Woods as well. I'm looking forward to next season and giving the Champions League a go."