Four-year-old Alexis Lichtenstein touches a bracelet on the wrist of Democratic U.S. Senate nominee Joe Sestak, who was making a campaign stop Monday at the Atrium Restaurant in Kingston, Pa. The bracelet was a gift to Sestak from his daughter.

WASHINGTON — Former Rep. Pat Toomey, R-Pa., has joined the chorus pressuring Rep. Joe Sestak, D-Pa., to disclose exactly who at the White House offered him exactly what administration position in exchange for dropping out of the U.S. Senate primary.

Interest in Sestak's alleged job offer has intensified after his stunning defeat of U.S. Sen. Arlen Specter, D-Pa., who was President Barack Obama's favored candidate. Republicans and Democrats have come forward in recent days saying Sestak has an obligation to set the record straight.

Toomey urged Sestak on Monday to start talking, largely so the scrutiny doesn't distract from their Senate campaign. Toomey and Sestak have pledged to battle over policy differences, not petty politics.

Toomey said he weighed in so the issue can be put to rest.

"Sestak's support for the policies that are bankrupting our country and killing jobs is of much greater concern to me than whatever deal-making was done between him and the White House," said Toomey, 49, of Zionsville, Pa. "Joe and I disagree on many important issues, from health care to bailouts to the unprecedented debt being racked up in Washington. ... Joe can clear that all away by simply disclosing all the facts that he knows, and I urge him to do that."

But Sestak, who maintains he was propositioned by the White House to drop out of the race against Specter, refuses to provide additional details. And the White House says whatever conversations took place were "not inappropriate."

Robert Gibbs, the White House spokesman, was asked about it Sunday on CBS' "Face the Nation." "I'm not going to get into it," Gibbs said, "but people who have looked into it assure me the conversations were not inappropriate in any way."

Sestak, who appeared on both "Face the Nation" and NBC's "Meet the Press," was pressed on both shows to divulge details. "Yes or no. Straightforward question: Were you offered a job and what was the job?" asked David Gregory, the host of "Meet the Press."

"I was offered a job; I answered that," Sestak said. "Anything that goes beyond that is for others to talk about."

Sestak's campaign matched Toomey's statement Monday with one of its own:

"Joe likes Congressman Toomey, but if he really wanted to focus on issues that matter to the working families of Pennsylvania, he wouldn't be talking about political distractions," it says. "It's clear that as a former derivatives trader ... the last thing Congressman Toomey wants to talk about are issues like job creation and small-business growth."

When Sestak first made the claim on a Philadelphia radio station in late February, U.S. Rep. Darrell Issa, R-Calif., sent letters to the White House asking for more information.

Issa, the top Republican on the House Oversight and Government Reform Committee, also called on Attorney General Eric Holder to appoint a special prosecutor to look into it. But the Justice Department rejected Issa's request in a letter sent to him Friday but not publicly released, the newspaper Politico reported Monday night.

Issa still might seek to subpoena the White House through his position on the Oversight panel, according to Issa spokesman Kurt Bardella.

Recently, Issa threatened to ask the House Ethics Committee to investigate on grounds that Sestak may be covering up criminal activity by the White House. Issa contends that if a quid pro quo took place, the White House may have committed a felony.