Given has not played a competitive match in over eight months, with his last senior appearance coming in a 2-1 defeat at Millwall in last season's FA Cup fourth round.
"I am disappointed I am not involved, but I still have three years left on my contract, and I know I am fortunate to have that security," said Given.
"There's a lot of good lads out there who haven't even got a club at the moment. I could still be sitting here this time next year, no change, or something might come up in January.
"When you have played virtually every game throughout your career it is difficult, especially when you think you should still be playing. I will just train hard until January and hope something comes up."
Given has started over 400 Premier League games during a 20-year playing career that has included notable spells at Newcastle United and Manchester City.