Unemployment rates for Hockley and Cochran counties dipped in April while the rate remained unchanged for the state as a whole.
The rate here slipped from 3.7 percent in March to 3.6 percent in April.
In Cochran County, it dropped from 4.6 percent to 3.9 percent in the same period.
Lamb County, which lost a major employer when its denim plant closed months ago, also showed improvement.
The jobless rate there dropped from 8.6 percent to 8.0 percent last month.
Texas has added an estimated 287,000 seasonally adjusted jobs over the past year including a modest gain in April with the addition of 1,200 positions during the month. The state has experienced job gains in three of the first four months of 2015.