The invention relates to a hot melt adhesive composition that, when used as an elastic attachment adhesive (EAA), provides elastic laminates having an initial creep performance of less than 25%. The composition comprises a selectively hydrogenated, high vinyl block copolymer having the structure SEBS or (SEB)nX amorphous polyolefin such as polyethylene, polypropylene, butylene homopolymers and copolymers, or a mixture of two or more of these, tackifier, and maleated polypropylene oligomer or maleated SEBS.