Connolly's agent Michael Kennedy confirmed that a host of clubs were interested in the Irish striker but refused to comment if one of them was Forest.
Other playoff semi-finalists Reading are believed to be favourites for his signature in a deal costing between £500,000-£750,000.
Reading are looking for a replacement for Jamie Cureton and Connolly would certainly fill the space that Jack Lester left when he joined Sheffield United from Forest.