The Welshman was placed in charge of first-team duties at Old Trafford following David Moyes's dismissal and led United to a 4-0 victory over Norwich City in his first game in temporary charge.
With Louis van Gaal set to take over this summer, Giggs's role has become the subject of doubt - with some reports suggesting that the Dutch manager wants an overhaul of United's coaching staff - and the 40-year-old admits that he will consider his future at the end of the season.
"Nothing has changed. I'm here until the end of the season. My concentration is on the last few games," Giggs told the press when asked about Van Gaal's imminent arrival.
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Wayne Rooney, meanwhile, is a doubt for Saturday's game against Sunderland after picking up a stomach bug and a slight groin strain.
The problem is not thought to be serious and the England international is eager to play, while, as reported by Goal, Robin van Persie could be included in the squad to face the Black Cats.
"A few of the lads have had a bug. Wayne Rooney has. Anders Lindegaard has. Wayne also has a tight groin too," Giggs continued.
"You have to be careful with the bug because the immune system is down a bit but Wayne being Wayne wants to play. We'll monitor it over the next 24 hours.
"Robin has been back training this week. He's looked good. Whether tomorrow is too early we'll just see how he goes today. He's looked really good this week."
Rooney's injury is not thought to be serious enough to put his participation at the World Cup in doubt, with Roy Hodgson set to name his squad on May 12, while Van Persie's return would be a welcome boost for Netherlands boss Van Gaal.