Maximum sustained winds have increased to near 115 miles per hour (185 kph) with higher gusts.
Bud was moving northwest at about 3 miles per hour (6 kph) and was forecast to approach Baja California Sur on Thursday as a tropical storm.
Bud will also create high seas and unsafe rip currents as it approaches land but is expected to begin to weaken before approaching Mexico's Baja California as a tropical storm later this week.
Infrared satellite imagery Tuesday shows the distinct 20 to 25 mile-wide eye, but also outer rainbands well removed from Bud near Puerto Vallarta, extending down the coast toward Manzanillo. Unsafe ocean swells and rip currents may commence Tuesday. These rains could cause life-threatening flash floods and mud slides. By the time Bud hits land in Mexico it is forecast to have weakened to below hurricane speeds.
The hurricane season is striking well ahead of schedule.
Un traducteur pour connaître l'avenir de Griezmann
Tout de même prudent, le Mundo Deportivo précise qu'aucune clause écrite n'existe pour l'instant entre Antoine Griezmann et le FC Barcelone mais qu'un accord moral très fort est en place entre le joueur et le Barça.
For the season as a whole, three to six tropical cyclones are predicted for the central Pacific hurricane basin, which includes tropical depressions, named storms and hurricanes.
"On the forecast track, the core of Bud and its stronger winds are expected to remain well offshore of the southwestern coast of mainland Mexico during the next few days", the advisory said.
Forecasters for AccuWeather and Global Weather Cycles and Oscillations told Daily Star Online they are both predicting an above-average season - the third in a row.
"Bud" ramped up to a Category 3 hurricane.