Michigan Sen. Carl Levin and United Auto Workers President Ron Gettelfinger urged the Michigan Senate Democratic Caucus on Wednesday to force a vote on whether to have a new primary there.

In a conference call, the two urged Michigan Democrats to have "a vote for the record" so that the Legislature will be on record as in favor of enfranchising voters and, in their view, so they can show that Barack Obama is trying to block an effort embraced by the Legislature and the Democratic National Committee

The DNC penalized Florida and Michigan's delegates last year after the states scheduled their primaries before Feb. 5, Super Tuesday. The national party issued a letter on Wednesday saying it would work toward approving inclusion of delegates stripped from the national convention if the state can reach a plausible solution for holding a new vote.

"We have recently been asked whether the legislation as proposed by Michigan would fit within the framework of the national party's delegate selection rules. Our review of this legislation indicates that it would, in fact, fit within the framework of the rules if, it were, passed by the state Legislature and used by the Michigan State Democratic Party as the basis of drafting a formal delegate selection plan. If a formal delegate selection plan is received, we will convene a meeting of the (rules and bylaws committee) to consider such a plan."

Still, many key Democrats believe Obama is dragging his feet, even some who support him, and the frustration level is growing. Obama has said he would go along with anything the DNC approved, so this letter removes one reason for not going forward with a new vote.

But the Obama campaign has said it doesn't think it's technically possible to do a new vote in Michigan, arguing that the proposal currently being discussed severely restricts voter eligibility and relies on private funding. In addition, local officials aren't sure they can get the vote done under the timetable proposed, the campaign notes.

"We understand that when it comes to counting votes, the Clinton campaign favors whatever they think will benefit them," Obama campaign spokesman Tommy Vietor said.  "But on a day when Michigan legislators themselves have indicated that there isn’t enough legislative support for a re-vote — and when Senator Clinton’s own Michigan co-chair said that a re-vote 'wouldn’t make much difference' — it doesn’t make any sense for them to point fingers at our campaign."

Despite plenty of legitimate obstacles to holding a new election, Hillary Clinton intends to capitalize on the frustration toward Obama to try to force him into embracing a new primary.

Clinton won the Jan. 15 contest in Michigan, though she was the only top-tier Democrat on the ballot. Obama's name did not appear.

Her campaign strategists said on Wednesday that Obama is the only obstacle to the new  vote, since Gov. Jennifer Granholm's legal counsel reviewed the plan every step of the way and her staff is able to grapple with the legality of the legislation under Michigan law.

"This is not about political gamesmanship," said spokesman Phil Singer. The Obama camp is "obsessed" with making an argument about who said what, who's up and who's down, but that this is about counting.

"For the Obama campaign to be content to allow voters in Florida and Michigan to be disenfranchised, that's their prerogative," Singer said.

FOX News' Jim Angle contributed to this report.