The Reds currently sit at the top of the Premier League table thanks to three consecutive 1-0 wins.
"It's been a great start for us but we can't get carried away," Rodgers told the Liverpool Echo. "We had a difficult start to last season but since January our form has been outstanding.
"There is a long way to go this season but we're really looking forward to the challenge."
Liverpool continue their campaign on September 16 when they travel to Rodgers's former club Swansea City.