This weekend Brendan Rodgers' side host Stoke City at the Liberty Stadium, and Graham is desperate to start against the Potters.
"I'm desperate to start every game," said Graham in the South Wales Evening Post. "I sat in the crowd against West Brom and I hated it.
"That's just the way I am. I want to play games and I don't want to sit on the bench.
"It's up to me to get back on the training field and force myself back into the team."
"I've never had any sort of back problems before," explained the 26-year-old about his injury problem.
"That happens in football and that was just my luck that it happened a couple of days before a match.
"I was training on the Thursday morning (before West Brom) and I had a back spasm.
"I couldn't train and I missed Friday's session, then it stiffened up again on Saturday and I wasn't right to play.
"I was left out and the boys did ever so will to win 3-0, and we needed that win. Rightly so, I didn't start against Chelsea."