A medical catheter device is disclosed that comprises a tubular shaft member, a soft tip member, and a wire guide lumen extending longitudinally within the tubular shaft member and the soft tip member. The wire guide lumen is offset relative to the centerline within the soft tip member. By offsetting the inner diameter of the soft tip member in such a way as to not change the outward profile of the catheter, the soft tip will have improved tracking across existing stents and eccentric lesions.