Carroll, like Shearer, wore the famed number 9 shirt for former club Newcastle United before his £35m move to Anfield.
"He's very strong and reminds me of Alan Shearer in style - holding the ball well, heading it strongly, moving nicely and looking lively in the box," said the Dutchman.
"We've seen what Carroll can do before - he scored the winner here for Newcastle last season. We'll need to be on our guard against him."
Arsenal and Liverpool both drew their opening games of the season.