The shooting happened at about 1 a.m. on Saturday at an apartment complex in the 2000 block of Hussion Street, police said.
Authorities said a security guard, who is in his mid-30s and works for the apartment complex, was in the parking lot when an argument started.
Then, police said, the suspect shot the security guard several times in the torso and arm, leaving him in critical condition.
Officers don't know if the suspect was hit but believe he may have been injured during the shootout. According to officials, police have been checking hospitals to see if the suspected shooter is being treated.
Police say they're currently investigating potential suspects and plan to speak to residents of the apartments.