Having missed out on Henrik Mkhitaryan to Borussia Dortmund, the Reds are looking to add genuine quality.
Rodgers said: "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."