The Northern Irishman has already brought in Spanish duo Luis Alberto and Iago Aspas as well as Belgian international Simon Mignolet and veteran defender Kolo Toure this summer.
But Rodgers admits he's not yet finished in the transfer market and insists his primary focus is to bring players to the club who will help his starting line-up challenge for honours.
Rodgers told the club's official website on Thursday: "Our recruitment team are doing a great job behind the scenes in compiling lists of players that we can afford and might be available for us.
"What we've done in the early part of the summer is to improve the squad. That's something I feel we've done with the players we've brought in.
"Now what's important over the next three to five weeks is improving the team. That's something the club is working very hard at.
"I'm sure by the time the end of August comes we'll be ready and we'll have a terrific squad ready to challenge."