Nunn said in a prepared statement Friday that the pair should meet across Georgia in events hosted by non-partisan groups.
Perdue's campaign did not immediately reply to a request for comment.
Nunn, Perdue and Libertarian Amanda Swafford are running to replace retiring Republican Sen. Saxby Chambliss. The Georgia race will help determine which major party controls the Senate for the final two years of President Barack Obama's administration.
National Democrats view Nunn as their best shot at picking up a Republican seat this fall as Democrats try to maintain their majority. Nunn faces an uphill battle in Georgia, which Obama lost in both his national victories.
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