The veteran goalkeeper has not featured in the Premier League since Villa suffered a 3-1 defeat at home to Everton in late August.
"Frustration can sometimes boil over if you're not playing, but for me it's important that I keep my head down and work hard every day," Given told the Express & Star.
"I am gutted that I am not playing in the team, that's natural, and hopefully if I work hard I'll get back in the side. [Lambert] is not scared to leave people out, including me."
Given joined Villa from Manchester City in the summer of 2011.