Seven of their players have been nominated for the FIFA Ballon D'Or, with van Dijk and Firmino appearing alongside Trent Alexander-Arnold, Alisson, Mohamed Salah, Sadio Mane and Georginio Wijnaldum in the shortlist.
"Why not have a centre-half winning the Ballon d'Or?" Brewster said.
"People will say he's changed Liverpool with what he's done in helping us keep a lot of clean sheets, everybody has confidence with our back four and the keeper.
"I hope he [Van Dijk] does win it."