The present invention relates to a method for processing high molecular weight oligomer waste products formed during the production of linear alpha-olefins by oligomerization of ethylene in a reactor in the presence of a solvent and a catalyst, characterized in that the high molecular weight oligomers are separated in a separation unit from a product stream of the reactor comprising the solvent, the catalyst, linear alpha-olefins and high molecular weight oligomers having a solidification temperature in the range of about 60-100.degree. C., then diluted with a dilution medium and heated to about 130.degree. C. to about 200.degree. C., the diluted high molecular weight oligomers are then transferred to a disposal device, wherein at least some of the dilution medium may be recovered and recycled for addition to the dilution medium.