The emergency room was closed but other patients were not evacuated during the incident.
The male inmate from the Kane County jail and the female hospital employee he took hostage were not identified, and no one was injured, the Chicago Tribune reported.
Authorities say two nurses were taken hostage at different times during an hours-long standoff with an armed jail inmate at a northern IL hospital.
The hospital went on lockdown.
A SWAT team quickly moved in to Northwestern Medicine Delnor Hospital in Geneva after negotiations broke down with the inmate Saturday afternoon, Kane County Sheriff's Off6ice spokesman Patrick Gengler said.
Gengler says the standoff has been contained to one section of the emergency room. During entry, a SWAT officer fired their weapon, striking Salters, who was pronounced dead at the scene.
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Negotiations broke down and the SWAT team broke into the room where the man was and fatally shot him, police said.
"All of the patients are secure and safe", said Delnor Hospital spokeswoman Kimberly Waterman.
Kane County Sheriff's Office Lt.
The Illinois State Police is conducting the investigation, which remains ongoing. He had been held at the jail on charges of possession of a stolen motor vehicle, police said.
The incident began on the third floor of the hospital in Salters' room.
Gengler said the female employee is with her family and being treated at the hospital. "We work closely with our partners in law enforcement so we are prepared".