"I don't think it's going to happen early," Bennett said on the morning broadcast.

He compared the fourth-seat debate to a "whack-a-mole" game, in which, as one problem is solved, another problem pops up.

Bennett said there are "just enough quibbles" on the fourth-seat situation that it likely will not be finished this session. Bennett said the more time goes by, the more likely people in the state will just want to wait until the next census, anyway.

Also on Monday, Utah's lone Democrat in Congress, Rep. Jim Matheson, said he had not heard of the possible movement on the special session but that nothing has changed in his thoughts on the issue.

He said he will vote for any bill that gives Utah a fourth seat. He would not comment specifically on maps the governor has proposed because he objects to the idea of elected officials drawing the maps. He would rather have seen a special commission of some type come up with the maps, and said one could have been convened while Congress has been on recess.

"I am out of the mapmaking business," Matheson said.

Rep. Chris Cannon, R-Utah, also has not heard any official word from the governor, said spokesman Charles Isom, and there is no set schedule yet for what will occur during the lame-duck session of Congress.

Asked about progress on the additional seat, Huntsman told the Deseret Morning News he was ready "to call a special session in the next week or so to get something finalized." Utah lawmakers are already scheduled to hold interim committee meetings Nov. 15.

The governor said he'd issue the formal call for a special session in the next few days.

Huntsman said he has been in contact with both Republicans and Democrats on the U.S. House Judiciary Committee to make sure the proposal will move forward no matter which party wins control on Tuesday.

The governor predicted the earlier attempt at drawing boundaries would be "roughly analogous to what the final map looks like" once lawmakers are finished. Time, he said, is running out.

"If we don't get it done quickly, we don't get a fourth district," Huntsman said.

The new seat in Utah is part of a compromise bill that grants a vote in the House for the District of Columbia, where residents currently do not have a voting member in the House or Senate.

A District of Columbia House seat likely would be held by a Democrat, whereas lawmakers assume the Utah seat would be won by a Republican, making it a "politically neutral" bill, according to its authors.