Ingrid, with maximum sustained winds of 65 mph, was moving west-northwest at 10 mph, the National Hurricane Center in Miami said in its 7 a.m. advisory.
The Mexican government discontinued a hurricane watch and hurricane warning, as well as the tropical storm warning for the area south of Cabo Rojo.
A tropical storm warning remained in effect from Cabo Rojo north to Rio San Fernando.
The center of Ingrid was expected to push farther inland throughout the day and into the night. Additional weakening was expected as the storm moved inland.
Ingrid could produce 10-15 inches of rain over a large part of eastern Mexico, with isolated amounts of up to 25 inches possible. Flash floods and mudslides could result, forecasters said.
A storm surge, accompanied by large and destructive waves, will raise water levels by as much as 2-4 feet above normal tide levels along the coast near and north of where Ingrid made landfall.