However, amid reports that United are preparing an £8m bid for his services, Wanyama has outlined his desire to stay in Glasgow until the end of the season.
"I can confirm to you that I will be at Celtic," Wanyama told the Daily Record. "We are playing well and our Champions League dream is on right now, so I am looking forward to the big game against Juventus.
"A lot has been said about my intended move but I have not given it much thought and even my manager feels I should play until the end of the season for Celtic.
"Then, from that point, the doors can be open for a move."
Wanyama joined the Bhoys from Belgian side Germinal Beerschot in 2011.