The four arrivals so far - Sunderland goalkeeper Simon Mignolet, Manchester City defender Kolo Toure, Celta Vigo forward Iago Aspas and Barcelona B midfielder Luis Alberto - have all strengthened the squad according to Rodgers.
But having missed out on Shakhtar Donetsk midfielder Henrik Mkhitaryan, who joined Borussia Dortmund, the Reds are now turning their attention to other players who can come in and make an instant impact.
That may be increasingly important considering reports are suggesting Arsenal - whose pursuit of Real Madrid's Gonzalo Higuain appears to be faltering - are preparing to offer an improvement to their £30million bid for striker Luis Suarez which was rejected last week.
Liverpool have yet to receive another approach and maintain the Uruguay international is not for sale.
The focus, meanwhile, is on bringing more players in.
"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," Rodgers told the club's official website.
"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."
- Sports & Recreation
- Simon Mignolet
- Borussia Dortmund
- Iago Aspas
- Kolo Toure
- Shakhtar Donetsk
- Celta Vigo
- Gonzalo Higuain
- Henrik Mkhitaryan
- Luis Suarez