Those entrusted with stepping up in the absence of Suárez, Philippe Coutinho and Glen Johnson, failed against Southampton. New signing Iago Aspas has disappointed since the start of the season, but Rodgers said that he needed time to adjust to the demands of the Premier League.
"There's no doubt it's been difficult," the Liverpool manager said. "When you are the player who scores goals you want that goal to give you that confidence and obviously he hasn't got that yet.
"It was difficult for him to get in the game. We flipped it about a bit in the first half in triangles to try and get him on the ball a bit more. He'll continue to work hard.
"Iago is a good boy, an honest boy and he's obviously been thrown in a bit quicker than we would have liked. But he's a good guy, he's working hard and trying his best so hopefully over time he'll get his goals and make the impact we think can."