Rep. Darrell Issa (R-Calif.) is intensifying his rhetoric against the White House, accusing them of a "Nixonian" cover-up of a possibly illegal job offer.

For weeks, Issa has been suggesting the White House may have broken a law by allegedly offering Rep. Joe Sestak (D-Pa.) an administration job in exchange for dropping his primary challenge against Sen. Arlen Specter (D-Pa.). (Setsak made that claim during a radio interview last month, but hasn't elaborated since then.)

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Issa, the ranking member of the House Government Reform and Oversight Committee, said in a recent interview with Fox News's Neil Cavuto that the White House isn't answering his questions.

"And this is sort of Nixonian, actually, more than Clintonian," he said, rejecting Cavuto's analogy to President Clinton. "If it was done, it was probably at a level well below the president. It was probably done by, quote, 'some of the president's men.' "

Issa accused White House press secretary Rober Gibbs of engaging in a "cover-up" by not answering questions about the incident.

"But, at this point, the spokesperson for the president is now part of the cover-up, day after day after day, by saying he's going to 'get back to you' ... with something that should be easy to either confirm or deny," Issa said.