At its peak the storm prompted evacuation orders for 6.5 million people in Florida, the largest evacuation in modern US history.
Despite local panic, it spared Barbuda, St. Martin and Anguilla, all of which had been ravaged by Hurricane Irma.
At 5 a.m. Tuesday, Hurricane Jose's winds had dropped to 75 miles per hour from 105 at one pointMonday.
"Canada appears more like than the U.S.to receive a hit from Jose at this point, but it is too early to be believer in these long-range model forecasts", Masters wrote in his Cat 6 blog on Weather Underground. In terms of intensity, the center is predicting a high-end Category 1 hurricane with 90-mph winds by the weekend.
Latest forecast models are struggling to track the hurricane's exact path, but the tail-end of the storm could bring some unstable conditions to the United Kingdom in about 10 days time.
Jose is now located about 400 miles north of the northern Leeward Islands and is moving northwest. It will initially move farther away from the United States before coming closer to the Bahamas and East Coast.
Caicos before Irma
However by next week, forecasters say Jose can also just go harmlessly out to sea.
The latest European model shows Jose circling around the west Atlantic for much of the upcoming week. The Hurricane Center reports that Jose "remain over SSTs [sea surface temperatures] over 29C [84 degrees Fahrenheit] for the entire forecast period".
The National Hurricane Center recognizes this uncertainty in its Tuesday morning forecasts for Jose, saying "after (three days), the confidence in the forecast decreases as the guidance diverges significantly".
Meanwhile, remnants of the destructive Hurricane Irma will likely be seen on the east coast as well.
If that happens, by September 18 it could again be pointed at the islands all but destroyed by Hurricane Irma last week.