Giggs, 12 times a Premier League winner, has signed a succession of one-year deals with United since moving into his mid-30s.
"I will see how I feel and see how I am contributing, and then I will sit down and talk to the manager," Giggs said.
"I am cool with that. I am enjoying my football at the moment, but the end of the season is a few months away and you never know what will happen.
"I have to contribute as well as enjoying both training and playing."