From 2000 through 2014, a total of 569 people died from AIDS-related illnesses while serving time in a local jail in the US. Of those, 98 were white non-Latinx, 395 were black non-Latinx, 73 were Latinx, and 3 were "other."
In 2015, a total of 10 people serving time in local jails in the US died from AIDS-related illnesses.

Source

Noonan, Margaret E., "Mortality in Local Jails, 2000-2014 - Statistical Tables" (Washington, DC: US Dept of Justice Bureau of Justice Statistics, Dec. 2016), NCJ250169.