The trio of storms closely follow the deadly onslaught by Hurricane Harvey, which drenched the US Gulf Coast with historic rainfall and triggered widespread flooding.
Fluctuations in Hurricane Jose's intensity are possible for the next day or so, the National Hurricane Center said, and the storm is expected to gradually weaken after that. Jose is in the Atlantic, and is expected to turn more to the north later in the week from its current westward track.
Mexican soldiers who form part of the national disaster program patrol the coastway along the beach in Barra de Cazones, in Veracruz state, on September 7, 2017.
"Based upon the latest observation and analysis, Hurricane Jose could come very close to the Leeward Islands by early Saturday", the center said in a statement. The government has extended the Hurricane Watch northward along the coast to Cabo Rojo. Maximum sustained winds are at 45 miles per hour with heavy rain and flash flooding being the concern for the southeastern side of Mexico. But the hurricane center says Katia is expected to stay offshore through Friday morning.
Meanwhile, Jose is swirling in the Atlantic, located about 925 miles east of the Lesser Antilles.
Hurricane watches, meaning sustained winds of 74 miles per hour or higher are possible, have been in effect for Antigua, Barbuda, Anguilla, Sint Maarten and St. Martin.
The storm is forecast to begin moving slightly faster in a west-northwest motion during the next two days, according to the NHC.
Millions of Florida residents were ordered to evacuate after the storm killed 21 people in the eastern Caribbean and left catastrophic destruction in its wake.