Witnesses saw Odom downing whiskey and beer in the airport lounge ahead of a flight on Monday night.
Upon boarding the plane, the 36-year-old sportsperson rushed out of his first class seat and vomited on the way to the restroom and then again inside the restroom with the door open, according to TMZ.
Odom was escorted off the flight and re-boarded a short time later only to be escorted off again.
Representatives for Delta are yet to comment on the news.