The pair have apparently been dating since Madden split with Paris Hilton a few weeks ago, and were reportedly introduced by Spears' manager Larry Rudolph, who has been helping her find a man.
A source told In Touch Weekly that Spears and Madden met for dinner at a Los Angeles hotel suite, after Rudolph and Spears' father Jamie made a list of potential boyfriends for the singer.
"They've been on a few dates. She appears to like Benji a lot, and he seems to really like her," the unidentified source said.
Rudolph also reportedly called Olympic swimmer Michael Phelps, and Gossip Girl actor Chace Crawford, but Madden was the most interested in meeting Britney.
Spears recently announced a string of dates to promote her current album Circus.
For more on Britney Spears, check out her NME.com page.
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