The 4 p.m. Thursday advisory from the National Hurricane Center has nudged Tropical Storm Nate's track westward again.
The cone of uncertainty now includes southeast Louisiana and parts of the Mississippi and Alabama Gulf Coast.
It also showed Nate could make landfall earlier than previously thought as a category 1 hurricane. The storm could be well inland by Sunday afternoon.
The storm is expected to be a quick mover after entering the Gulf sometime on Saturday.