The Blues have so far spent over £30m on the likes of Muhamed Besic, Romelu Lukaku and Brendan Galloway, while Gareth Barry joined on a free transfer before Christian Atsu signed from Chelsea on loan.
However, the Blues boss has said that he is still on the lookout for any potential deals before the September 1 transfer deadline.
He told the Liverpool Echo: "When you have the window open, making more signings is always something you are going to look into and consider.
"But I am more focused on the group of players we have being fully fit and fully sharp. And then if anything comes along then we will come into it.
"But we've done the majority of business we intended to do so from this point of view we are quite happy."
Lukaku joined from Chelsea for a club-record fee of £28m.