The team finds itself without a clear answer at quarterback following another Trevor Siemian debacle Monday night, when he threw three interceptions in a 29-19 loss to the Chiefs.
"I'm going to watch the film [Monday] night and [Tuesday], like most coaches would do, and see, " Joseph said.
Currently, veteran Brock Osweiler and 2016 first-round pick Paxton Lynch sit behind Siemian. When it was over, Siemian completed just 53 percent of his attempts while tossing three interceptions and just one touchdown.
The Broncos also fumbled twice and Joseph said the five turnovers were "unacceptable".
While Siemian's job remains safe for right now, there is no doubting that the pressure is on him to start performing.
So, Joseph huddled Tuesday with general manager John Elway, offensive coordinator Mike McCoy and QB coach Bill Musgrave to decide who will be under center when the Broncos (3-4) visit NFL-leading Philadelphia (7-1) this weekend.
If all three players continue to struggle, it will all but assure that the Broncos will aggressively pursue outside options at quarterback next offseason.
"I just turned it over, couple of bad decisions, tough to win, tough to beat good teams when you turn it over, " Siemian said.
Should Osweiler, a second-round pick by Denver in 2012, start for the Broncos on Sunday, it would be his first significant action since throwing three interceptions during an AFC divisional playoff loss to the Patriots last January as the quarterback of the Texans.
"Right now, everything is being explored (at quarterback)", Joseph told the team's radio partner, Orange and Blue Radio.
Joseph, who was hired in part to restore locker room harmony, has been adamant that no one's pointing fingers, but cornerback Chris Harris Jr. said after the latest game there's definitely some friction.
"Obviously, Paxton is still healing up", Joseph said.
If Lynch is healthy enough, however, it's worth giving him a turn.
"At the end of the day it's about results", declared Joseph. "Our defense played winning football".