The storm fully recurved to the northeast on October 22, while initially no significant change in intensity occurred. On the following day, the storm began to slowly restrengthen, although wind shear had further exposed the center. As a result, the National Hurricane Center no longer noted the possibility of Jose to re-intensify into a hurricane. Jose began to significantly re-organize on October 24, with deep convection rapidly re-developing around the low-level circulation. Despite this, the National Hurricane Center noted that, "the deep convection is poorly organized enough that strengthening is unlikely before extratropical transition in 36 hours." By 1200 UTC on October 24, the storm once again attained hurricane intensity as it passed about east of Bermuda. After becoming a hurricane, no further intensification was predicted, as sea surface temperatures would soon decrease. Jose rapidly accelerated and quickly weakened back to a tropical storm by early on October 25. At 1200 UTC on that day, the storm transitioned into an extratropical cyclone while located south of Atlantic Canada. Six hours later, the extratropical remnants of Jose merged with a large mid-latitude low.