The Inter Milan star told nos.nl that he was certainly interested in making the move to Old Trafford and suggested that talks had opened with the Red Devils.
"Yes, but Manchester United haven't made an official approach yet,” he said in a video interview with the Dutch website.
"There have been unofficial talks, there have been contacts, but then there are always contacts. I have contacts with everybody."
Sneijder added that he was unlikely to leave the San Siro prior to August 31 but did leave the door ajar for a summer departure.
"The situation is that I am now an Inter player, and chances are that I will still be that come August 31. There is also a chance I could leave,” he added.
"That isn't really down to me, but the club. I think Inter have been very clear: if a good offer comes in, they have to let me go.
"They don't want to lose me, but there is a chance they will let me go.
"If something crosses my path, I have enough time to make my decision."