Bicomponent fibers having a sheath-core morphology where the sheath is a thermoplastic polymer and the core is an elastomeric compound are made which can be continuously extruded from the melt at high production rates. The elastomeric compound comprises a coupled, selectively hydrogenated block copolymer having high flow. 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 high vinyl content of 60 mol % or greater. The bicomponent fibers are useful for the manufacture of articles such as woven fabrics, spunbond non-woven fabrics or filters, staple fibers, yarns and bonded, carded webs. The bicomponent fibers can be made using a process comprising coextrusion of the thermoplastic polymer and elastomeric compound to produce fibers at greater than 800 mpm and having a denier from 0.1 to 50 g/9000 m.