The Reds have already signed Luis Alberto, Iago Aspas, Simon Mignolet and Kolo Toure this summer, but the manager says there could be more players to follow.
"We're really working hard to bring in the type of profile that can really help us push on. We just need to see if that's available and affordable,” he told LFC TV during the Reds' summer tour.
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However, Rodgers is thrilled with the signings he has made so far, and feels all four of the new arrivals have adjusted quickly to life at their new club.
"All of the new boys have settled in really well," he added. "Simon Mignolet has been first class. He has shown that he is one of the top young goalkeepers in European football. I think he will prove over the next coming years at Liverpool that he is a top goalkeeper.
"Kolo Toure speaks for himself - his experience and his fitness has been first-class since he came in. And he's a really good man. That was the idea of bringing him in, because of his winning mentality and his personality.
"Iago has settled in well and got a few goals in pre-season, which is great for his confidence. He's a livewire in and around the box, and he's a good man.
"Luis Alberto is obviously still young but has shown the qualities, technically, and has got a strong mentality. I think we can see early on that he can end up being a very good player for Liverpool."