There are now three hurricanes in the Atlantic, according to the National Hurricane Center in an update at 5 p.m. ET.
They formed as Hurricane Irma, a Category 5 storm with 180 mph winds, is continuing to churn toward Florida.
Jose has maximum sustained winds of 75 mph, and "interests in the Leeward Islands should monitor the progress" of the storm.
Jose's center was located near latitude 13.9 North, longitude 45.8 West, the agency added, saying that it's moving toward the west-northwest near 16 mph, and "this general motion is expected to continue for the next couple of days."
"Isolated maximum amounts of 15 inches are possible in northern Veracruz. This rainfall may cause life-threatening flash floods and mudslides, especially in areas of mountainous terrain," the advisory reads.
A hurricane watch is in effect for Tuxpan to Laguna Verde in Mexico.
Hurricane Irma reached historic proportions on Wednesday, Sept. 6, becoming the only Atlantic or Eastern Pacific hurricane on record with sustained winds of 185 mph for over 24 hours, according to Eric Blake, a scientist with the National Hurricane Center (NHC).
