Tropical Storm Dolly drenched the Yucatan Peninsula on Monday and was poised to plunge into the Gulf of Mexico, where it could grow into a hurricane on a preliminary track that would carry it near the Texas-Mexico border.

The storm hit the storm-prone peninsula with heavy rains and high winds, according to the U.S. National Weather Service in Miami, which also forecast downpours and winds in western Cuba.

By dawn Monday, the storm was centered about 65 miles (105 kilometers) east-northeast of Progreso and it was moving to the west-northwest at 16 mph (26 kph). Maximum sustained winds were near 50 mph (85 kph).

The governor of Quintana Roo state, where Cancun and most of Mexico’s Caribbean coast are located, ordered the evacuation of small, low-lying islands Banco Chinchorro and Punta Allen as a precautionary measure.

Residents were stocking up on food and fuel, while some hotels were still monitoring the storm closely before taking any measures.

Cancun, the largest resort on Mexico’s Caribbean coast, was ravaged by Hurricane Wilma in 2005.

Far out in the Pacific, meanwhile, Hurricane Fausto grew to Category 2 status with sustained winds of 100 mph (160 kph). It was centered about 405 miles (650 kilometers) west-southwest of the Baja California Peninsula.

Off the eastern coast of the United States, Tropical Storm Cristobal was heading toward the northeast, away from Cape Hatteras, North Carolina.

Maximum sustained winds were near 50 mph (85 kph) and it was not projected to grow stronger or weaken much over the coming day.