The German coach swiftly ruled himself out of the running for the position and has insisted once again that he is happy at Dortmund.
"To react to all of this is a bit uncomfortable because there hasn't been an offer, so to reject it before an offer comes, is personally embarrassing for me," Klopp told reporters in a news conference.
"I think Manchester United is a great club, but I am still really happy here. There are around 1,000 reasons why I like working at this club."
Netherlands boss Louis van Gaal, who is leaving the Dutch FA after this summer's World Cup, has become the bookmakers' favourite to land the job.