While the drought-stricken areas in the southwestern United States could benefit from the moisture of this storm, the region could also experience flash flooding if rain develops too quickly.
Bud will approach southern Baja California Sur on Thursday, the National Hurricane Center said in a 3 a.m. update.
At the very least, it will move into the Gulf and give us a very heavy rain potential in southeast Texas.
The hurricane is moving north-west at about 10mph - a course it is expected to take until mid-week, the NHC said.
Although authorities established a surveillance zone to follow the trajectory of the hurricane northward along Mexico's western coast, there were no evacuations of tourist spots like Acapulco, Puerto Vallarta and Cabo San Lucas. In addition, ocean swells generated by Bud will continue to affect portions of the coast of southwestern Mexico during the next few days.
A category three storm is at the middle of the five-point Saffir-Simpson wind scale.
The average date when the first named storm forms in the Eastern Pacific Basin is June 10, according to NHC data from 1971 to 2009.
The center said the hurricane's core was moving farther from Mexico's southwestern coast but still could generate unsafe heavy surf and rip currents over the coming days. It's happened seven other times since 1970, according to NOAA's historical hurricanes database.
The Atlantic hurricane season lasts until November 30.
Hurricane forecasters on Tuesday morning (June 12) were tracking a system in the Caribbean Sea that they say has a low chance of developing into a tropical depression. Bud is located east of Tropical Storm Aletta.