A rotatable livestock brush has a rotation axis and a brush surface configured to be brought into contact with a contact region of a body of a livestock animal. The brush surface includes at least a first region having first pressure-transfer properties, and a second region having second pressure-transfer properties which differ from the first pressure-transfer properties. A plane at a right angle to the rotation axis intersects both the first and second regions. The brush has a cylinder shape with a central cylinder axis. The rotation axis is eccentric and in a position which differs from a position of the central cylinder axis. Upon rotation, the brush massages the body of the livestock animal in the contact region thereof by transferring the varying pressures onto the body of the animal by successively bringing the first and second brush surface regions into contact with the body of the animal.