At least 84 prisoners and nine prison guards and employees have died from the coronavirus so far, according to the Texas Department of Criminal Justice.
The latest victim was Correctional Officer V Kenneth Harbin, 60, who died on 4 July.
According to figures released last week by Texas officials, 8,811 offenders and 1,556 employees have tested positive.
Prisons and jails around the US have been outbreak epicentres since the early days of the pandemic. Inmates have no ability to practice social distancing and sometimes little access to basic hygiene products such as soap and warm water.
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In California, San Quentin prison has been hit by a deadly outbreak after infected prisoners were transferred there from another facility.
As of Monday, six San Quentin inmates have died and another 1,387 inmates have tested positive. Officials say they are urgently trying to reduce the prison’s population to below 3,000.
BBC