Newly anointed Senate candidates Rand Paul (R-Ky.) and Joe Sestak (D-Pa.) will be on NBC's "Meet the Press" this Sunday, the network announced.

The two candidates won their respective primaries on Tuesday.

Expect Paul to be asked about his controversial comments on the Civil Rights Act and the subsequent fallout.

Meanwhile, Sestak, who beat incumbent Sen. Arlen Specter (D-Pa.), will likely be asked about the job the White House offered him in exchange for dropping his bid.

Sestak said early in the campaign the offer had been made but he declined to elaborate. In his press briefing Thursday, White House press secretary Robert Gibbs was asked about it but refused to answer questions. Republicans have called on Democrats to say what offer was made.

Both of them will also likely discuss the anti-incumbent mood that helped them get their party's nominations and what kind of national support they expect to get in the general election.