Abstract: A manufacturing process includes combining a liquid resin with a liquid reactive cross-linking composition to form a reactive core composition. The manufacturing also includes contacting the reactive core composition with a sheath composition including a carrier polymer in a solvent. The manufacturing process further includes wet spinning the reactive core composition with the sheath composition to form a sheath-core fiber including a core including at least one continuous fiber of a reaction product of the liquid resin and liquid cross-linking composition and a sheath surrounding the core. The cross-linking composition reacts with the resin during the wet spinning. The sheath includes the carrier polymer. A continuous poly(glycerol sebacate) urethane (PGSU) fiber comprising PGSU and a continuous PGSU fiber forming system are also disclosed.