Flossie was about 315 miles (505 kilometers) south-southeast of Cabo San Lucas, Mexico.
It was expected to continue a west-northwest to northwest motion with some further strengthening Wednesday before rapidly weakening.
While that path kept the storm's center offshore, Flossie's outer bands were bringing heavy rain to coastal portions of Michoacán, Colima, and Jalisco states.
Mexico's government said Wednesday it had discontinued an earlier tropical storm Punta San Telmo to Playa Perula. More rain could fall in the affected areas into Wednesday.
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