Shevchenko, a £30million signing from AC Milan last summer, struggled badly in his first season in England, finding the net just four times in the league.
But Voronin, who moved to Anfield on a Bosman free from Bayer Leverkusen at the start of this month, believes 'Sheva' will be ready to show his true colours after a year of bedding in with Jose Mourinho's side.
"I spoke to Shevchenko about coming to Liverpool and he remains one of the great strikers in Europe," Voronin said in the Daily Express.
"He didn't perform as well as he was expected to last season, but he played in Italian football for seven seasons with AC Milan and that league is totally different to the English game.
"Maybe he just needed a little more time to get used to the English style. I think he'll do better this season because he is a goalscorer."