A replacement is expected to be named sometime Tuesday. Honors is not being kicked out of the Navy, but he will be losing command of his ship. The Navy had initially decided to temporarily relieve Honors of his post but apparently changed its decison.
The officials revealed the plans for Honors only on the grounds of anonymity because no official announcement has yet been made.
Honors produced and appears in videos which contain sexually oriented skits and gay slurs. The videos were made in 2007 but were made public over the weekend.
The videos were played on the shipwide TV system during weekly movie night when Honors was executive officer, or second in command, of the Enterprise. Honors has since become commander of the ship.
In response to the videos, a Navy spokesman said the type of videos produced by Honors, "Were not acceptable then and are not acceptable in today's Navy," and that "U.S. Fleet Forces Command has initiated an investigation."
Some sailors who served on the Enterprise are coming to Honors' defense, saying the videos provided welcome comic relief during long deployments supporting the wars in Iraq and Afghanistan.
The Enterprise was deployed in the Middle East at the time the videos were made and is weeks from deploying again.
The Associated Press contributed to this report.