Surman was only a peripheral figure at Carrow Road last season, despite signing a new three-year contract with the Canaries.
He featured only seven times under Chris Hughton in all competitions after being laid low by injury after previously making 25 appearances in the Premier League upon Norwich's return to the top flight in 2011/12.
The 26-year-old is now being allowed to leave ahead of the new campaign, with Hughton having increased his wide options with the capture of Leroy Fer.
A return to Bournemouth is on the cards for Surman, who scored six goals in 28 games on loan at the club in the first half of the 2005/06 season.
Bournemouth boss Eddie Howe has been looking for attacking reinforcements and appears poised to bring in the former Southampton youngster ahead of Saturday's opening Championship game against Charlton Athletic.