Manchin is "honored to have their confidence, but the governor has said publicly that he will not appoint himself," spokeswoman Sara Payne Scarbro said.
Last week, Secretary of State Natalie Tennant said a quirk in state law means a special election to fill the vacant Senate seat could not be held until 2012. She later asked Manchin to call a special legislative session so the state could have an election sooner than that.
Other officials and groups are also calling on Manchin and lawmakers to change the rules.
On Tuesday, the http://www.wvbic.org/" target="_blank">West Virginia Business & Industry Council called for a special session to allow for a vote before 2012.
"West Virginians deserve a full-time senator who will represent us in the U.S. Senate, and not some temporary place holder," council Chairwoman Jan Vineyard said in a statement.
Meanwhile, Delegate Clif Moore, D-McDowell, said he sent a letter to Manchin asking to be considered for the appointment.
Moore said his appointment would go a long way to change the misperceptions people around the country have regarding West Virginia.
"I just think it would be a great commentary on the state of West Virginia," Moore said.
Moore, a four-term delegate, said he believes he is qualified to serve in the U.S. Senate, having worked effectively with both Democrats and Republicans in the House.
"I have a lot in common with most West Virginians," he said. "I'm not wealthy. I don't belong to any elite group or clique."
@tag: Staff writer Phil Kabler contributed to this report. Reach Alison Knezevich at alis...@wvgazette.com or 304-348-1240.