By FOX SPORTS staff
Iago Aspas, Luis Alberto, Simon Mignolet and Kolo Toure are four fresh faces that have arrived at Anfield this summer, providing slight cheer in the wake of top scorer Luis Suarez's declaration that he intends to leave Liverpool.
However, Rodgers told the club's official website that he was still looking to bolster the squad further, especially in attack.
"We still have some business to do to bring in a few more players. By the end of August I hope that we will have a squad that will be ready to compete and challenge for the top four. We need one or two players to cover positions where we're a little bit short, and also probably looking to bring in maybe one or two in the attacking areas. We'll see how that goes," Rodgers said.
"The window is still open until the end of this month. We did very well in the early part of the window, when we got four players in - which I'm extremely happy about. If we can add a few more that would be really good for us."
The new Reds recruits have enjoyed a memorable pre-season so far, with Rodgers' team scoring eight goals and conceding none.
Reflecting on his players' performances, the Northern Irishman was naturally pleased with their efforts.
"I've been delighted with the appetite and determination of the players. That's five games we've played now in pre-season and we haven't conceded a goal," Rodgers pointed out.
"We've still got a couple of weeks to go before that first game but everything is going along really well and we're in good shape."
Liverpool are currently in Norway to contest their second-last pre-season fixture against Valerenga, but Rodgers will not be able to call upon Daniel Agger, who is currently recovering from a knock after featuring in Steven Gerrard's testimonial match.
The Danish international's absence did not stop his manager from praising one of the club's most devoted players.
"He's obviously a world-class defender. Daniel is very committed to Liverpool; he's one of the players that have really impressed me," Rodgers revealed.
"If we're talking about loyalty, he was one of the first players that I spoke to when I became the manager. At the time, there were a number of big clubs looking to sign Daniel. But he gave me his word that for as long as I wanted him to be at Liverpool, he would be at Liverpool. He has never swayed from that. He has an unswerving commitment to Liverpool which is so refreshing. His loyalty to the club is incredible."