The Chapel Hill investment banker, who lost the Democratic primary to state Sen. Kay Hagan in May, is the spokesman for Draft Obama Clinton in North Carolina.
The group is pushing for Clinton to be Barack Obama's running mate.
"Both Senator Clinton and Senator Obama have energized millions of new voters, and all of them are committed to seeing a Democrat in the White House in January," Neal said in a statement. "The best way to unite the party is to unite the two strongest candidates our party has ever seen."
Draft Obama Clinton was launched by Citizens Consent, a grassroots organization unaffiliated with either campaign. It launched a draft Kerry-Edwards Web site in 2004, collecting over 100,000 signatures in an online petition.
In the primary, Neal endorsed Obama, saying he thought Clinton would be great in the No. 2 slot. In recent weeks, he has reorganized his Facebook supporter group, saying he intends to remain involved in state politics.