Giggs, who made his United debut in March 1991 and has now played a club record 897 matches in all competitions, said he intends to sit down to discuss a new deal shortly.
His decision has been welcomed by manager Sir Alex Ferguson who told the club's Inside United magazine: "There has been no discernable deterioration in his play whatsoever and, in that sense, why shouldn't he stay on another year?"
The former Wales international was asked if his intention was to continue playing after this season ended in May, and he replied: "Yeah, it is at the moment.
"We'll sit down pretty soon and see what we want to do but, at the moment, I feel good and I want to carry on."
"Now that one's a question! You can't see it but we'll see. When that changes [having a big influence on the pitch], then that's when I'll want to stop. But I feel like I'm still an influence on and off the pitch so I'll carry on."
"We certainly hope so, yes," he replied when asked if Giggs can carry on for another year.
"Obviously, it's entirely up to Ryan himself but I don't see any reason why he can't continue."
Paul Scholes, 37, is back in the United side after telling Ferguson that he made a mistake by retiring "too early" at the end of last season and the two veterans have both played in all of United's last four matches.
