Brazil earned a memorable third goal after 69 minutes, Vagner Love breaking free down the left and slotted an inch-perfect pass between two defenders to Alves.
"Welliton and Vagner Love have obtained some fans' choice awards and they are really popular among people, " added Sorokin, referring to the Spartak Moscow striker and CSKA Moscow forward.
Millwall needed a quick response but instead they found themselves further behind when Vagner's shot from the edge of the area deflected off Ward and over Stack into the net.