A bushing arrangement for centring two shaft portions to be connected, having at least one outer bushing, and at least one inner bushing arranged radially inwards of the at least one outer bushing, the at least one outer bushing and the at least one inner bushing being connected via at least one elastomer body, on which at least one sealing lip is formed. At least one encircling recess is formed in the elastomer body which extends from one axial end of the bushing arrangement in such a manner into the elastomer body that the at least one recess extends radially around the at least one sealing lip and around at least a portion of the axial extent of the inner bushing.