The Merseyside outfit have snapped up defender Kolo Toure, midfielder Luis Alberto, forward Iago Aspas and goalkeeper Simon Mignolet so far, but Rodgers is looking to add some more "quality" to the team.
"There's a lot of work going on behind the scenes," Rodgers told the club's official website. "Obviously it's not easy. We have seen that from other clubs' experiences as well. But I'm confident we will add to the team. I don't think there is any doubt that we need that.
"Everyone at the club, the recruitment team, the board and ourselves, we are all working hard to make that happen, and hopefully we can.
"There's money there available to get in the right types of players, but we don't want to panic and just bring in anyone. It has to be someone who can come in and improve the team."
While Rodgers is keen to secure new arrivals, the future of striker Luis Suarez remains uncertain following two rejected bids from Arsenal.