Liverpool captain Jordan Henderson insists the squad has enough quality even if manager Jurgen Klopp fails to make more signings before the start of the season.
Roma winger Mohamed Salah, Chelsea striker Dominic Solanke and Hull left-back Andrew Robertson are the only new arrivals at Anfield so far this summer.
And the Reds have been rebuffed with two bids to sign RB Leipzig midfielder Naby Keita and had to publicly withdraw their interest in Southampton centre-back Virgil van Dijk after becoming embroiled in a tapping-up row.
Robertson, midfielder Emre Can, returning from extended leave after Confederations Cup duty with Germany, and forwards Sadio Mane and Danny Ings, now both recovered from knee injuries, were all back in training on Tuesday.