Within a brewing unit for a coffee machine, a brewing chamber, which is arranged in a pivotable brewing cylinder, can be filled with ground coffee powder by using a filling device. For the purpose of introducing the coffee powder, the brewing chamber has a filling opening. With the aim of avoiding undesired deposits of grounds in the region of the upper side of the brewing unit, and also of improving levels of hygiene, a projection extends in the filling direction outside the brewing chamber, wherein the projection is such that the exit region of the filling device is introduced with the formation of an interspace between the projection and a side wall of the exit region such that the projection substantially fully surrounds the exit opening of the exit region. Coffee powder supplied in the filling device drops from the exit opening of the exit region, directly through a through-opening of the projection and the filling opening, into the brewing chamber without striking against the projection.