A process for producing a segmented copolymer of p-dioxanone and glycolide, said process comprising heating a mixture of p-dioxanone monomer, p-dioxanone homopolymer, and glycolide monomer, to a sufficient temperature, said temperature ranging between about 100.degree. C. and about 220.degree. C., for a period of time to effectively produce a segmented copolymer comprising a major component comprising about 30 mole percent to about 95 mole percent of repeating units of glycolide and a minor component comprising about 70 mole percent to about 5 mole percent of repeating units of p-dioxanone.