The present invention is directed methods of making absorbable poly(p-dioxanone) pellets by melt polymerization of p-dioxanone conducted in a single reactor with a temperature regulator by charging a melt reactor with a mixture of p-dioxanone (PDO) monomer, initiator, catalyst, and optionally a dye; melt polymerizing the mixture in the melt reactor with sufficient agitation of the mixture to allow complete mixing of the monomer and for sufficient time to form a PDO polymer product having an unreacted PDO monomer content of at least 65 mole percent; placing the PDO polymer product under a vacuum to remove at least portion of unreacted PDO; discharging the PDO polymer product from the melt reactor directly into an in-line, underwater pelletizer to produce undried PDO pellets, collecting the undried PDO pellets, and storing the collected PDO pellets in the freezer or a vacuum chamber prior to drying.