State health officials Monday reported fewer than 13,000 people were being treated for the virus in Texas hospitals, marking the seventh consecutive day of declining patient loads.
Dallas County Judge Clay Jenkins said the area was "starting to see some metrics go in the right direction" as the average number of daily new cases fell by 800.
More than 34,000 people have died from COVID-19 in Texas, the second-most in the nation behind California. More than 5,000 new cases were reported statewide Monday.
Nationwide, coronavirus deaths and cases per day in the U.S. dropped markedly over the past couple of weeks but are still running at alarmingly high levels. The U.S. is recording just under 3,100 deaths a day on average, down from more than 3,350 less than two weeks ago.