Hurricane Dean was downgraded to tropical storm after hitting Mexico for a second time this week after a short trip across the Bay of Campeche.
Having landed on the Yucatan peninsula on Monday as a category 5 storm - the deadliest on the Saffir-Simpson scale of hurricane intensity - it is now expected to dissipate over the mountains in central Mexico later in the day.
Sustained wind speed dropped to 55 km/h, compared to 270 km/h when Dean made its first landing on Yucatan.
But the danger of flash floods remained high, with up to 50 centimeters of rainfall expected in some areas.
No casualties of the hurricane were reported in Mexico, but at least 13 died in the Caribbean.
Dean is the third strongest hurricane on record, trailing only the Florida Keys hurricane from September 1935 and Hurricane Gilbert from 1988, the US National Hurricane Center said.