United's move for Crystal Palace winger Wilfried Zaha appeared to be another sign of an imminent vacancy.
However, Giggs' form over the last few weeks has been a throwback to days of old and his performance against West Ham on Wednesday was good enough to earn him yet another man-of-the-match award.
Alex Ferguson has no doubts the veteran Welshman could play on next season. But Giggs is happy to delay that call for a few months.
"I am not thinking about my contract at the moment," he said. "It is like previous seasons, I am quite relaxed about it. I am just enjoying my football. There are so many crucial games at the moment, I am not too bothered about what is happening next year. I feel good, though.
"Obviously the manager knows how to look after me and I try and look after myself as best I can, which you have to at this age.
"I am not going to play every game but I have to be ready and prepared when called upon."
Ferguson must now ponder what, if any, role Giggs will play in Sunday's visit to Tottenham.
He also needs to decide who will take United's next penalty after Wayne Rooney's dismal effort in midweek. United have now failed with five spot-kicks this term, one more than they have scored.
Rooney is responsible for two of them, and has now missed 10 throughout his Red Devils career.
Yet Giggs insisted the England striker could still be trusted. "Players sometimes go through these types of spells," he said.
"(I remember) Ruud van Nistelrooy missing three on the trot. Not many people remember that but I certainly do. The fourth one he stepped up, buried it and probably didn't miss one again.
"Wayne is our penalty taker. He will be disappointed because he is a goalscorer who wants to score goals.
"But I am sure if we get another, he will take it."