The midfielder's representative has laughed off suggestions that the Premier League giants have offered a big-money deal and insists his client will stay with Bayern Munich
Goal understands David Moyes' men were planning to open talks with the Bundesliga side over a possible move when the two clubs met at the Allianz Area for the second leg of their Champions League clash.
However, Struth insists there has no been official offer from the Red Devils and has warned the Premier League champions that Kroos will be staying with Pep Guardiola's side.
"There has not been any official contract offer [from Manchester United]," Kroos' representative told Bild.
"And there is absolutely no need to table an official bid either because Toni will stay with Bayern Munich at least until 2015."
The 24-year-old has a contract with Bayern until June 2015 and head coach Guardiola stressed on Tuesday that the Bavarians want the midfielder to stay beyond the expiry date of his existing deal.
Nevertheless, contract renewal talks have so far been unfruitful and Kroos has refused to rule out leaving Bayern for a move abroad.