Bicomponent fibers comprising a thermoplastic polymer and an elastomeric compound are made which can be continuously extruded from the melt at high production rates. The elastomeric compound has high flow and consists essentially of a selectively hydrogenated block copolymer and a tackifier resin, an alpha-olefin copolymer, an alpha-olefin terpolymer, a wax or mixtures thereof. In one embodiment the block copolymer has at least one polystyrene block of molecular weight from 5,000 to 7,000 and at least one polydiene block of molecular weight from 20,000 to 70,000 and having a vinyl content of greater than 60 mol %. In a second embodiment the block copolymer has a vinyl content of less than 60 mol %. The bicomponent fibers are useful for the manufacture of articles such as woven fabrics, spun bond non-woven fabrics or filters, staple fibers, yarns and bonded, carded webs.