Jurgen Klopp has brought seven new players to Anfield so far.
Liverpool manager Juergen Klopp after the match
The Reds have been busy this summer, with seven new faces arriving at the club so far.
They have spent big on some deals, with Georginio Wijnaldum arriving for £25 million and Sadio Mane costing £36 million from Southampton.
Liverpool's Sadio Mane in action
Neither would be considered big name signings though, especially given Zlatan Ibrahimovic has elected to join up with Manchester United.
There have been hints that more signings may arrive at the club before the end of the window, and Barnes says he would not be disappointed if they aren’t big names.
"Regardless of whatever players he brings in, I trust him to integrate a style that suits them," he told Sky Sports.
"I wouldn't be disappointed if Liverpool didn't sign big name players because he's signed Mane, Matip… players who he knows he can get the most out of.”
Georginio Wijnaldum celebrates scoring his fourth in the win over Norwich
It remains to be seen whether Klopp does add any more players to his squad this summer after being busy so far.
He has a fairly large group at this moment in time, which goes against comments he has made suggesting he wants to work with a small squad this season.
That makes more arrivals unlikely; although he may be tempted to change that stance should the right player, namely a left back, become available.
Liverpool manager Juergen Klopp