The 25-year-old, who joined the Swans in 2010, has started just 10 Premier League matches during the past two seasons.
While Taylor's representative Jamie Moralee hopes that the full-back can stay at the Liberty Stadium, he admits that Taylor might have to move on.
"Neil is a player that needs to play regularly. If that could happen at Swansea it would be ideal," he told the South Wales Evening Post.
"Swansea is a fantastic club that has made a lot of progress and that's who Neil wants to play for, but if he can't be guaranteed regular football, I can't see him sitting on the bench for another season."
Taylor made 20 appearances in all competitions for Swansea during the 2013-14 campaign.