Covenant Hospital in Lubbock has upgraded the condition of stabbed Curry County inmate London Word from Critical to Stable.
Officials have arrested and charged fellow inmate Demetrio Salas for the stabbing.
Guards say Word was stabbed multiple times around 4:00 Tuesday afternoon.
Law enforcement officials were not informed of the stabbing until about six hours later.
At that point, the District Attorney's office, Clovis Police and the Curry County Sheriff's Department, seized control of the jail to conduct the investigation and collect evidence.
Control of the jail was returned to the Warden Wednesday.
Demetrio Salas is in the jail on charges in connection with the September 2005 shooting of 10-year old Carlos Perez.
His brothers Edward Salas, 21 and Orlando Salas, 16 were also being held in connection to the shooting.