At 5 p.m. ET, Dolly had sustained winds of nearly 75 mph and was 165 miles southeast of the border town of Brownsville, Texas, which could see the brunt of the storm.
The storm combined with levees that have deteriorated in the 41 years since Beulah swept up the Rio Grande pose a major flooding threat to low-lying counties along the border. Beulah spawned more than 100 tornadoes across Texas and dumped 36 inches of rain in some parts of South Texas, killing 58 people and causing more than $1 billion damage.
"We could have a triple-decker problem here," Cavazos told a meeting of more than 100 county and local officials Tuesday. "We believe that those (levees) will be breached if it continues on the same track. So please stay away from those levees."