The data source is Texas Department of Health Services and the data is up to data as of September 20, 2020.
The downward movement of total number of hospitalizations in Texas continued past seven days, but seems to have slowed a bit:
The three main contributing TSAs (Trauma Service Areas) are still E – Dallas/Fort Worth, P – San Antonio and Q – Houston, but Houston has now less hospitalizations than Dallas/Fort Worth:
All other TSAs have also come down, V – Lower Rio Grande Valley even significantly so:
Conclusion: Texas looks promising at the moment in terms of persons who require hospitalizations due to COVID-19.