The 29-year-old midfielder is back in training after missing the club's 2-0 win over Stoke with a back problem.
"All being well Leon will be ready for Norwich," Rodgers told the South Wales Evening Post.
"He has responded well to treatment and we will see how he goes over the next few days.
"He will be a good option for us, although we are not going to complain about the injury problems we've had.
"I have got honest players with quality and, whatever team I put out, they will always do their best."