According to the NHC's 11 a.m. Monday advisory, Jose is now located about 305 miles north-northeast of Grand Turk Island. (A Category 1 hurricane has maximum sustained winds between 74 and 95 miles per hour).
After Irma climbed up Florida, it had slowed to a tropical depression as it dumps rain over Tennessee and the Ohio Valley, NHC reported.
The forecast path for Hurricane Jose in the next few days is so odd that internet commenters have come up with the advice, "Go home, Jose, you're drunk".
Jose's wind forecast, updated today by the National Hurricane Center, show tropical-storm level winds reaching near Florida and the coastal Carolinas by Friday.
Remains of the storm could also push the jetstream further north dragging better weather to the British Isles, but the forecast is still questionable.
Hurricane Jose had threatened some of the areas in the Caribbean, like St Martin and the Virgin Islands, that were battered by Irma only days ago. The strength and location of this ridge will determine how far Jose moves westward before eventually turning north and then east again. Other forecasts, however, say the storm could directly impact the mid-Atlantic and New England coasts.
Different potential paths mean Jose could remain at sea and not threaten land in any significant way.
Meteorologist Eleanor Bell, of The Weather Channel, said: "Models are continuing to struggle to resolve the track of this storm".
Meanwhile, remnants of the destructive Hurricane Irma will likely be seen on the east coast as well. "The sunny start to the week will end generally cloudy".