NET Health changing COVID-19 vaccine distribution methods as surplus builds State continues to supply thousands of doses each week Vaccine Surplus By Blake Holland | May 5, 2021 at 6:43 PM CDT - Updated May 5 at 7:28 PM TYLER, Texas (KLTV) - With demand for the COVID-19 vaccine falling and supply being greater than ever, East Texas vaccine providers are finding new ways to get shots into arms. âThere are ample vaccine providers getting doses now,â said Terrence Ates, Public Information Officer for the Northeast Texas Public Health District. And while demand has significantly decreased since NET Healthâs first vaccine clinics in late December, theyâre still receiving plenty of doses from the state each week.