Police say a 19-year-old man walked into Swedish just after 7 a.m. to get treatment for a gunshot wound.
When officers arrived at the hospital, the man told them he had been standing on the corner of 12th Avenue and East Jefferson a half hour earlier when he was approached by another man.
That man started a conversation with the victim that led to a heated argument, according to police.
The victim told police the man he was arguing with pulled out a handgun and pointed it at him. The victim grabbed for the gun and it went off, hitting him once in the leg, according to police.
The shooter ran away and the victim walked up the hill to Swedish with several friends.
The shooter is described as an East African man his 20s who stands roughly 6 feet tall.
Anyone with information about the shooting is asked to call Seattle police.