"Well I am going to watch the film tomorrow", Joseph told reporters, via Pro Football Talk.
Despite the trouble, the Broncos closed to within 20-13 at the end of the third quarter, but Siemian threw his third interception with 6 minutes, 23 seconds remaining in the game.
According to a source, if the Broncos do make a change it will likely be to former first-round pick Paxton Lynch.
By Tuesday afternoon, Joseph wasn't ready to commit to a quarterback. In that scenario, however, it will be Paxton Lynch garnering the starting nod over Siemain with Brock Osweiler continuing his role as the Denver reserve.
While Siemian's job remains safe for right now, there is no doubting that the pressure is on him to start performing.
Denver's defense played exceptionally well Monday night.
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He generated attention in 2008 with the launch of Nautilus, which was billed as the world's largest privately built submarine. But police said there were no fractures in Wall's cranium when her severed head was found earlier this month .
"I just turned it over, couple of bad decisions, tough to win, tough to beat good teams when you turn it over, " Siemian said.
Osweiler was signed by the Broncos just before the season after Lynch suffered a right (throwing) shoulder injury in a preseason win over the Green Bay Packers.
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.
"I think Trevor has been pressing to be a special player for us, " Joseph said.
If Lynch is healthy enough, however, it's worth giving him a turn. "Obviously like most coaches would do and see but [Monday], our defense played winning football in my opinion". The Broncos are now ranked No. 19, a big drop from their No. 4 ranking earlier this season.
"But the bottom line: players play and coaches coach".