"We had a good meeting this morning and it's time to go now," the defenseman said following the 4-2 loss, according to TSN's Mark Masters. "It's time to man up.
"We have expectations on us and we're not living up to them and it's time to go. We competed hard tonight ... we battled back and had a chance to tie it. We have to keep going, a lot of hockey left."
Barrie, who was traded to Toronto in July after a career-best 59-point season with the Colorado Avalanche in 2018-19, has struggled to find his offensive touch with the Maple Leafs, managing just seven assists through 23 contests.
The 28-year-old has picked up a helper in two consecutive games, however, and posted a Corsi For rating of 60% or better over five consecutive games.
Tuesday's loss marks the longest losing streak of the Auston Matthews-Mike Babcock era. The team's longest skid last season lasted three games. Prior to the defeat against Vegas, the Maple Leafs hadn't lost six in a row since 2015-16, when they finished dead last in the NHL.