The chat show host is the subject of a campaign to deport him from the States following his calls for tighter gun controls in the country.
The original White House petition against the CNN presenter has attracted over 70,000 signatures, meaning the government is required to respond to the request to expel him.
However, a new campaign on the White House website asks for Morgan to remain in America. It has already attracted over 1,000 signatures and the site doesn't state that supporters need to be US citizens
"There are two very good reasons for this. Firstly, the first amendment," the new petition says.
"Second and the more important point. No one in the UK wants him back. Actually there is a third. It will be hilarious to see how loads of angry Americans react."
Morgan suggested a ban on high-powered assault rifles and high-capacity gun magazines after the Newtown shootings.
He recently responded to the original petition and has since joked on Twitter that he is "running out of options" following the latest campaign.