Forecasters say Jimena has quickly intensified over the warm waters off Mexico's coast and is now a Category 2 hurricane.
The hurricane was packing 105 mph winds and could be a major Category 3 hurricane by Sunday, fueled by warm Pacific waters.
Jimena was swirling to the west-northwest at 12 mph about 655 miles off the southern tip of Mexico's Baja California peninsula. It was 270 miles south of Manzanillo, Mexico.
Farther out in the Pacific, Tropical Storm Kevin formed with top winds of 45 mph. The storm's center Saturday afternoon was about 1,065 miles southwest of the southern tip of Baja California. Forecasters say the storm could get stronger as it moves to the west-northwest.