Highly-rated goalkeeper Karl Darlow is reportedly a target for both Tottenham Hotspur and Liverpool after an impressive season as first-choice for the Reds.
Players thought to be on Stuart Pearce's radar include Crewe Alexandra forward Max Clayton and Barnsley midfielder Dale Jennings.
Having sealed a deal for Matty Fryatt already, Forest are still waiting to complete the signing of Dutch striker Lars Veldwijk with the move held up by 'technical issues'.
19-year-old Clayton, who returned from a fractured ankle in April, is out of contract at Crewe but the Railwaymen say he has been made a 'substantial' offer to remain with the club.
***Update*** Forest have confirmed the permanent signing of Veldwijk, 22, on a three-year deal.