Donovan broke the story on 'The Point After' on WKYC-TV3.
According to Donovan, Kokinis was ushered out of the Browns facility in Berea at around noontime Monday.
The move comes one day after the Browns lost to the Bears dropping their record to 1-7 overall.
Browns owner, Randy Lerner, told the media he was reportedly "sick" over the state of his NFL team following the loss.
The Browns cleaned house during the off season. The team hired Kokinis and Head Coach Eric Mangini after last season's disappointing 4-12 season.
Keep it with WKYC-TV3 and wkyc.com for the latest on the Browns.
The Point After airs each Monday at 7 p.m. on WKYC-TV and wkyc.com.