United are reported to be tracking the highly-rated defender as they look to bolster their central defensive options.
Okore has impressed for FC Nordsjaelland in the UEFA Champions League this season and has also broken into the Denmark national team
The 20-year-old's performances have not gone unnoticed by United scouts and several other top sides across Europe.
Okore's agent, Nicola Juric, admits former United keeper Peter Schmeichel has recommended Okore to Sir Alex Ferguson, but he admits he has yet to have any contact with anyone from Old Trafford.
"I am flattered and I am sure that Jores is flattered too," Juric told bold.dk. "I believe that there are a lot of clubs interested in Jores but I have not heard anything from Manchester United. I only know that Peter Schmeichel has recommend Jores to Alex Ferguson.
"It is normal for teams in England to use two types of defenders, a stopper and a ball-playing defender like Daniel Agger. There are not a lot of these ball-playing defenders like Jores available.
"There is interest from Russia, England, Germany, France and the two big clubs in Ukraine, Shakhtar Donetsk and Dinamo Kiev and Jores is open for anything. The most important thing for him is that any potential suitor really believes in him."