A catheter for removing tissue from a body lumen include's a rotatable cutter. The cutter includes an annular cutting tip at the distal end portion of the cutter for removing tissue from the body lumen. An axial cavity is defined by an interior surface of the cutter and extends proximally from the annular cutting tip toward the proximal end portion of the cutter. An eccentric opening extends from the central cavity through the cutter to allow tissue removed from the body lumen by the annular cutting tip to pass proximally through the eccentric opening toward an interior passage of the catheter body. The offset opening is offset from the longitudinal axis of the cutter.
