The 39-year-old, who replaced Kenny Dalglish at Anfield in May, signed Fabio Borini in a £10m deal from Roma last month but the former Swansea manager is yet to make any further additions.
“We’ve been linked with an incredible amount of players, but I’m very reluctant to speak about other players at other clubs,” Rodgers told the club’s website.
“I know I’ve got a bit of work to do here. We’ve got to improve the squad – there’s no question about that but unfortunately it takes a wee bit of time.
“It’s not as easy as some people think, especially when you are a club of this status.
“It’s a little bit more complex but my intention is to bring in another few players.
“As I’ve always said, I’d love them to be here sooner rather than later but the most important thing is that they are here by the end of August.
“Then we will know the group of players we will be working with until January at least.
“We’ve got some good players and I want to give a lot of the players here a chance, but I know I need to bring in a number of players, even to replace the ones who have left.
“This is a club that people want to be at and hopefully they will come in over the next few weeks.”
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