Throughout this season Reina has been linked with a summer move away, with Arsenal and Barcelona two clubs reportedly in the frame, but Rodgers has always insisted the 30-year-old remains a key figure.
"Pepe has made comments himself that, at times, he can be better but what I know I get from Pepe is he always gives his best," said the Reds boss.
"He's not immune to mistakes. We've seen throughout the season, not just with Pepe, many goalkeepers make a mistake and unfortunately for them it can prove costly.
"In his performance last week he made outstanding saves at critical moments of the game.
"His preparation has been spot-on, he's training well and working very hard - he's now starting to get the rewards for that.
"He's still a young man: at 30 years of age, you can still improve. Look at the likes of Edwin van der Sar, who played until he was 40 at the top level.
"Goalkeepers can go on that bit longer - as long as the preparation is right and they focus and want to do better.
"There's no reason why Pepe Reina can't."