Washington, D.C. ? Michigan Democrats agreed Friday to push a do-over primary in early June to give them a say in the close presidential race between Sens. Hillary Rodham Clinton and Barack Obama.

Amid talks with the two campaigns, the four Michigan Democrats said in a statement they were “focusing on the possibility of a state-run primary in early June which would not use any state funding.” Rep. Carolyn Cheeks Kilpatrick, one of the Democratic participants, said a likely date is June 3.

“This option would require the passage of legislation by the state legislature, and we look forward to working with the members of the legislature in the coming days to see if this option can be made a reality,” the Democrats said.

The agreement now hinges on getting the campaigns and party officials to approve legislation, still being written, that would set the primary for early June.