With one game remaining in the 2015 season, Garrett is 45-42 as head coach in Dallas after taking over eight games into the 2010 season.
Breer confirmed the news after talking with Cowboys executive vice president/COO Stephen Jones.
"He's safe," Jones said, per Breer. "Change isn't always the right answer. We're not big believers in it. Jason, a year ago, everyone thought he hung the moon. That's the terrible thing about this business: You take one year and change everything. This doesn't faze us, it won't faze us. We're totally in with Jason. We're totally in with our staff."
Despite signing a five-year contract extension in January 2015, Garrett seems to be on the hot seat nearly every season he doesn't make a deep run in the playoffs, because the Cowboys are a franchise used to winning.
He went 5-3 in his first season before finishing 8-8 each season from 2011-13, missing the playoffs all three seasons. In 2014, Dallas finished 12-4 and advanced to the NFC Championship Game. His extension came at that time, but he followed that with a 4-11 record this season heading into Week 17.
Gil Brandt of NFL.com put Garrett's tenure into perspective:
Gil Brandt @Gil_Brandt
Despite missing playoffs for 5th time in 6 seasons, this will be Jason Garrett’s first losing season as Cowboys head coach.2015-12-29 16:24:12
It's hard not to put an asterisk next to the 2015 record after Pro Bowl quarterback Tony Romo broke his collarbone in Week 2. He returned in Week 11 to beat the Miami Dolphins, only to re-break his collarbone the next week against the Carolina Panthers.
Dallas is 3-1 this season in games Romo has played and just 1-10 using backups. The team has also been without its star wide receiver, Dez Bryant, for six games this season, and he was recently moved to the injured reserve list.
The injuries may have saved Garrett to a point, but Jones said everyone needs to be accountable, per Breer. "I think you have to look at everybody," Jones said. "I'm accountable. Jason's accountable. We're 4-11. It's up to us to do something about it. We had injuries, yes, but Jason doesn't want to use that as an excuse. I don't want to use that as excuse."
Yet, it appears he is still confident Garrett can win in Dallas.