The invention provides a bioabsorbable blend of (i) a polymer component comprising polylactic acid (PLA), polyglycolic acid (PGA), a copolymer of PLA and PGA, or any combination thereof and (ii) thermoplastic polyurethane (TPU) tailored to a medical application, and a process for making the same. In some embodiments, the TPU comprises units derived from a diol chain extender, a diisocyanate, and a polyol formulated to provide a set biodegradation rate in combination with at least one physical property. The blend of the invention provides useful materials for medical applications that have the individual benefits of polylactic acid and TPU while moderating each material's typical limitations.