The tropical storm was named on Tuesday and became a Category 1 hurricane on Wednesday afternoon when its maximum sustained winds hit 75 miles per hour.
On Friday, Jose became a unsafe Category 4 hurricane, threatening Caribbean islands already devastated by Irma. It is expected to stay on that course over the next couple of days and gradually strengthen.
"Katia is stationary and little overall motion is anticipated through late today, but then the hurricane is forecast to turn southwestward and approach the coast within the watch area late Friday or early Saturday".
Aside from joining Irma in a crowded Atlantic, Jose also Wednesday afternoon preceded the formation of Hurricane Katia in the southern Gulf of Mexico.
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Katia was located 185 miles northeast of Veracruz, Mexico, and there's a watch in effect for a small portion of the Mexican coast there.
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.
State energy company Pemex has installations in and around the coast of Veracruz but has not reported any disruption to its operations.