The Ukrainian striker is hoping for more first team appearances so he can help Liverpool get their season back on track.
"Last season was good for me because I wanted to play more matches," said Voronin.
"I went to Hertha Berlin, played a lot of games and scored goals. I was happy there.
"But I always wanted to come back to Liverpool because they are a massive club.
"It is very important for me to be here. I've spoken with Rafa and I want to take my chance, work hard and play for Liverpool."