A multi-filament surgical suture comprising cover and core layers is differentially coated or impregnated with a long-acting local anesthetic so as produce a differential distribution of the anesthetic within the suture. The differential distribution of the anesthetic within the suture can be adjusted so as to release a uniform or variable prescribed dosage of the anesthetic at a uniform or variable prescribed rate over one or more prescribed intervals. The time-release period and the rate of anesthetic release can be regulated to suit the needs of the specific patient and/or the nature of the surgical procedure.