The Argentina international ended last season well, finishing with 10 goals in 28 league appearances, but knows the influx of new arrivals at Anfield means he cannot afford to relax.
“Football is a game where you always want to do better and, after scoring 10 goals last season, it would be nice to improve on that this year,” Rodriguez told LFC Magazine.
“From when you are a kid you always want to improve year on year so if I can, that will be fantastic.
“The main thing is to try and make the most of any opportunities you do get to play so I will be going all out to do that.”
Rodriguez will wear the No.11 shirt this season, after wearing No.17 last year, and the winger hopes his favourite number can bring him luck in his hunt for goals.
“I wore it at Newell’s Old Boys and at Atletico [Madrid] and also in a couple of games for the Argentina national team,” he added.
“It was something that I asked for personally. It’s just my favourite number
“The number was spare. Let’s hope it brings a lot of luck.”
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Maxi Rodriguez sets sights on scoring more goals for Liverpool