At the time Katia made landfall, it had maximum sustained winds of 75 miles per hour.
NHC noted that risky storm surge will raise water levels by as much as 5 to 7 feet above normal tide levels near and to the north of where Katia makes landfall.
Even as she spoke, across the country, Hurricane Katia was roaring onshore north of Tecolutla in Veracruz state, pelting the region with intense rains and winds.
The Mexican government has discontinued all tropical storm warnings. Katia is also expected to produce total rain accumulations of 2 to 5 inches over southern Tamaulipas, eastern San Luis Potosi, western Hidalgo, eastern Queretaro, and southern Veracruz through Saturday evening.
Hurricane Katia, the sixth hurricane of the 2017 season, is expected to make landfall in Mexico early Saturday morning.
They urged people living below hills and slopes to be ready to evacuate.
The Hurricane Warning previously issued between Cabo Rojo and Laguna Verde was changed to a Tropical Storm Warning, the National Hurricane Center said.
Mexican emergency workers are also scrambling to respond to an 8.1-magnitude natural disaster that struck off the country's southern Pacific coast late Thursday, killing at least 61 people.
As Katia rapidly weakened, Hurricane Jose continued to gather strength far out in the Atlantic. At the same time, Irma strengthened back into a Category 5 storm Friday night, after weakening to a Category 4 earlier in the day.
Katia was a smaller hurricane in comparison to more unsafe Irma and Jose.
Millions of Florida residents were ordered to evacuate after the storm killed 21 people in the eastern Caribbean and left catastrophic destruction in its wake.