In a stretch yarn (1) comprising a stretchable core (2) covered by an inelastic fibers sheath (3) the stretchable core (2) comprises first and second fibers (4, 5) that have elastic properties, the first fiber (4) is an elastomer and the second fiber (5) is a polyester based (co)polymer, the amount of the second fiber being in the range of 60-90% (w/w) of the total weight of the fibers of the stretchable core (2); the first and second fibers are connected together at least at a plurality of points (P).