The 22-year-old forward has been in scintillating form in the Bundesliga this season, and is believed to have commanded interest from Bayern Munich.
Gunners boss Arsene Wenger has also been credited with an interest in Reus over the past few weeks, as the Frugal Frenchman considers to search high and low for attacking reinforcements in a bid to strengthen his Arsenal squad when the transfer window reopens in January.
Reus is under contract at Gladbach until 2015, but with a reported €18million minimum fee release clause in his contract, which comes into effect at the end of the 2011-12 campaign, the highly rated German international could soon be on the move.
As Wenger continues to monitor the player's development, with a view to bringing him to the Emirates Stadium in the future, the Arsenal boss will be conscious of rival interest from big-spending Manchester City.
But as speculation continues to gather pace about Reus' long-term future, Gladbach's director of sport Max Eberl revealed how there have been no enquiries for the attacker.
"There is no offer [from Bayern]," he told Sky television. "It is obvious that the lad is interesting and he is playing a fantastic season and it is also obvious that he feels very, very happy with us.
"We have not received any enquiries and there would be no point in any arriving because we want to keep hold of the lad for a long time."