A method for drawing an optical fiber having reduced polarization mode dispersion (PMD) draws an optical fiber from an optical fiber preform whose core ovality is at max about 3%, coats the optical fiber with acrylic polymer and twists the coated optical fiber with a pair of spinning wheels. The twisting of the fiber is achieved by four discrete spin rates that repeat in a periodic fashion after the drawing of certain lengths of the optical fiber. At least one of the spin rates varies in a trapezoidal manner along the respective one of drawn lengths of the optical fiber.