Steve Sarkisian -- Emotional, Crying ... Before Escorted From USC

USC football coach Steve Sarkisian was "very emotional" and even crying before he was removed from the USC football facility on Sunday ... multiple sources connected to the incident tell TMZ Sports.

Our sources tell us ... Sark appeared intoxicated at the USC athletic facility on Sunday -- and at one point, he was sobbing in a corner. That's when staffers decided to get USC athletic director Pat Haden involved.

Haden says he spoke with Sarkisian on the phone and determined he was "not healthy" -- and ordered him to take a leave of absence.