The effects of the delaminated tire after a tread separation event on the handling of a vehicle have been well documented. However, the period when the tire is delaminating, which can last from about one and one half to many seconds, can pose a serious threat to vehicle stability depending on the duration of the delamination process, the design of the rear suspension of the vehicle, and the speed at which the delamination commences. This paper will present the results of testing where a delaminating tire results in a bump on the tire and a subsequent loss of control even with expert drivers. Similar vehicles were tested under a controlled environment to determine that the cause of the loss of control is axle tramp induced by the bump frequency of the delamination occurring at the natural frequency of the axle/spring (the tire is the dominant spring) system. During this tramping the handling characteristics become severely oversteer. The resulting oversteer has been measured using standard SAE J266 test procedures for various models of vehicles characterized by a Hotchkiss type rear suspension system. Proposed solutions were increasing the tramp damping characteristics of the axle system and/or the addition of dual wheels on certain vehicles. These solutions are examined for their effectiveness. Testing will illustrate how proper shock absorber sizing and placement will have a positive effect on the oversteer situation.