Giggs has been signing one-year deals with United for the last few campaigns, and one more contract would mean him staying with the club into his 40s.
The 39-year-old has only made 16 appearances in all competitions this season, with his playing time being monitored closely by Sir Alex Ferguson, but he showed his quality with an exquisite pass to set up Robin van Persie for the equaliser in their FA Cup clash with West Ham last weekend.
"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 in the Sunday People.
"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.
"In a way I suppose I get an easier ride than some of the younger lads, and that's because the manager recognises I have different needs at this point.
"But don't get me wrong, my fitness has to be spot on, otherwise I just couldn't compete with the rest of the guys either in training or during matches."