McDaniel and Cochran were heading toward a June 24 runoff that illustrates the split within the GOP between its anti-establishment, tea party-flavored wing and its more staid establishment base. Neither candidate captured the required 50 percent of the vote in last week's primary.
Tea party and anti-tax groups have rushed to McDaniel's side in an effort to block Cochran's re-election. FreedomWorks, the Club for Growth and the Tea Party Express have sent cash and staff to Mississippi to help McDaniel.
The winner of the runoff faces former Rep. Travis Childers, a Democrat.
"Chris McDaniel has been a fighter in the Mississippi Senate for smaller government and more personal liberties," Paul said in a statement released Monday through the McDaniel campaign.
Paul's son, GOP Sen. Rand Paul of Kentucky, has not backed a candidate in Mississippi.
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