Speculation over the Poland striker's future grew last week, after his international manager Franciszek Smuda claimed the scorer of the opening goal of Euro 2012 was on his way to Old Trafford.
But the chief executive of the German side, Hans-Joachim Watzke, claims the stories in the media are wide of the mark.
He told Sportinformationsdienst: "It does not matter if we are to receive bids.
"I have said for weeks that Robert will be back in training with our club after the Euro 2012 and his holiday leave. And this is what will happen."
"I am sick of these speculations," he added. "I really don't care what the rumours are in the media of Poland.
"I have a detailed knowledge of media in Poland and therefore I know how I have to classify those reports."
Smuda's comments last week also called into question the futures of another two Dortmund players.
"Lewy is going to Manchester United, Kuba (Jakub Blaszczykowski ) also somewhere in England, and Piszczek to Real," the Poland boss told the media before Friday's opening game.
But Watzke has refused to believe that.
He continued: "I am going way back with Smuda for years. We have a good relationship. I do not think he has said things like that."
The 2012/13 Manchester United away replica soccer jersey.
Is a match jersey is not your style, check out the Manchester United vintage polo. Great for the pub or golf outing.
$64.99
Check out the Manchester United Full Zip Jacket.
The 2012/13 Manchester United home replica soccer jersey.
Show your love for the Red Devils with a team poster in your room.
$11.99
The Manchester United backpack is perfect to carry your gear to the field or take it to work or school.
$44.99
The Manchester United Supporters Soccer ball from Nike is great for any fan of the Red Devils.
$19.99
Manchester United started out called Newton Heath with the green and gold colors. Go Retro!
$71.99
The Manchester United Nike Swoosh t-shirt is too cool. Get in the Gear!
$24.99
The white Red Devils t-shirt shows your passion for the red side of Manchester.
$27.99