Former Newcastle United keeper Forster has been linked with a return to England.
When asked whether he expected to still be at Celtic when their next Champions League campaign begins, Forster said: "I don't know. There's a lot of time between now and then.
"It is hard to say either way. Obviously I'm contracted to Celtic and I will be for the foreseeable future, I imagine.
"It is just important that I do the best I can do, whether it is for Celtic or whoever."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball