Tropical Depression 8 formed along the coast of Mexico near Tampico on Friday, the National Hurricane Center in Miami said.
At 11 p.m., the storm's maximum sustained winds had dropped from 35 mph to 30 mph. The storm, located about 65 miles west-southwest of Tampico, was moving southwest at 8 mph over eastern Mexico.
There were no coastal watches or warnings in effect.
The storm was expected to continue moving southwest until it dissipates. The National Hurricane Center predicted that the depression would keep weakening as it moves father inland, degenerate into a remnant low-pressure area on Saturday, and dissipate by that night.
Tropical storm force winds are possible with a few squalls over portions of Mexico in the areas of Veracruz and Tamaulipas Friday and Saturday.
A total of 3 to 5 inches of rain was expected in the Mexican states of Veracuz, eastern San Luis Potosi and Tamaulipas, with up to 10 inches possible in some places. The rains could cause flash floods and mudslides.