Woodman signed a contract extension last summer which will keep him at the club until June 2021.
As he prepares for the resumption of the Championship this week, Woodman admits he's open to staying with the Swans.
"I think the club know and the fans know that I absolutely love it here," Woodman told the BBC.
"I would love to carry on next season. When you are enjoying your footy and enjoying where you live, it makes life so much easier.
"But in football it's not really up to the player's choice, it's about the clubs."