The present invention relates to a fusible suture for joining portions of tissue. The suture includes an elongate electrical conductor. The conductor extends between opposite ends of the suture and has sufficient flexibility to permit segments of the conductor to overlap, thereby forming a loop sized for joining portions of tissue. The overlapped segments of the conductor are heated upon application of an electrical current to the conductor. The suture further includes a coating that at least partially covers the conductor and extends over at least one of the segments of the conductor. The coating softens when its temperature is at and above a softening temperature so that the overlapping segments of the coating coalesce. The softening temperature is lower than a melting temperature of the conductor. The coating returns to a non-softened state when its temperature falls below a hardening temperature, thereby forming a bond between the overlapped segments of the conductor.