Disclosed is a process for the regeneration of an adsorber. For the regeneration a liquid stream (S2) is applied which is obtained by hydrogenation of a stream (S1) comprising at least one alkane and least one olefin. The stream (S2) comprises one alkane and a reduced amount of at least one olefin compared to the amount in the stream (S1). Then the stream (S2) is converted from the liquid into the gaseous phase and the adsorber is regenerated by contact with the gaseous stream (S2).