Doctors are waiting for the 60-year-old Arians' blood pressure to stabilize before releasing him.
Now a week into his search, Emery has interviewed at least five known candidates and requested permission to sit down with a minimum of five more.
Emery spent the weekend splitting time between at least two known locations, Dallas and Denver, where he met with Cowboys special teams coordinator Joe DeCamillis on Saturday and Broncos offensive coordinator Mike McCoy on Sunday.
McCoy is viewed as a strong candidate based on his track record of tailoring his offense to the strengths of three different quarterbacks -- Kyle Orton, Tim Tebow and Peyton Manning -- since he arrived in Denver prior to the 2009 season. Bears quarterback Jay Cutler was traded to Chicago just three weeks into McCoy's tenure as Denver offensive coordinator, but the assistant coach worked one season with Bears wide receiver Brandon Marshall.
Denver gave prospective teams a short window to meet with McCoy during the Broncos' bye weekend.
The Bears are also believed to be interested in three additional offensive coordinators whose teams are still alive in postseason play: Green Bay's Tom Clements, Houston's Rick Dennison and Seattle's Darrell Bevell.
The Chicago Sun Times reported Sunday the Bears had requested permission to speak with Bevell, who has been lauded this season for his work with Seahawks rookie quarterback Russell Wilson. Before heading to Seattle in 2011, Bevell served as the Minnesota Vikings' offensive coordinator from 2006-10 and was also Brett Favre's quarterbacks coach in Green Bay.
One Seahawks' offensive player said late Sunday before the team boarded their flight back to Seattle after their NFC wild-card round playoff victory in Washington that losing Bevell "would be a tough blow for the team."
ESPN reported over the weekend the Bears are scheduled to talk with Montreal Alouettes head coach Marc Trestman on Monday.
Emery kicked off the interview tour on Jan. 1 when he flew to Atlanta to interview Falcons special teams coach Keith Armstrong on Tuesday and Tampa Bay Buccaneers offensive coordinator Mike Sullivan on Wednesday. The Bears then spoke with New Orleans Saints offensive coordinator Pete Carmichael Jr. on Thursday, according to a source familiar with the situation.