2009-10: Selected by Moose Jaw in the fourth round (76th overall) of the 2009 WHL Bantam Draft after winning a Manitoba provincial bantam championship with the Winnipeg Monarchs in 2008-09, Brown skated for the Monarchs midget team in the Winnipeg City League. In 32 games he scored 7 goals with 17 assists and had 42 penalty minutes.
2010-11: Brown made his WHL debut, appearing in two November games, one March contest and three playoff games for Moose Jaw. He spent the bulk of the season playing for the Winnipeg Wild midget AAA team. He had 1 assist and was minus-one in three regular season games and did not have any points or penalty minutes in the playoffs for the Warriors. In 42 games for the Wild he scored 6 goals with 24 penalty minutes and had 33 penalty minutes. The Wild finished second behind the Winnipeg Thrashers in the regular season and fell to the Southwest Cougars in the playoff semifinals. In seven playoff games Brown had 3 assists with 4 penalty minutes.
2011-12: The 17-year-old Brown played a much larger role than expected in his first full season with Moose Jaw due to an injury to Maple Leafs' prospect Morgan Rielly. Brown appeared in 66 games and scored 7 goals with 24 assists and 45 penalty minutes. Brown and forward Eric Arnold shared the plus/minus lead for the Warriors (plus-19). Moose Jaw finished first in the East Division and reached the playoff semifinals. In ten playoff games Brown was minus-three with 2 assists and 4 penalty minutes. Brown was ranked 89th amongst North American skaters in Central Scouting's final rankings prior to the 2012 NHL Draft and was selected by Chicago in the fifth round (149th overall).
A balanced defenseman, Travis Brown combines puck-moving ability with a 6'2 frame and commitment to the physical game. He skates very well and has good mobility in all directions. When the puck is on his stick, he can make safe plays on the breakout as well as get his shot through at the offensive end.
Brown's versatility likely means he will get minutes in all situations for Moose Jaw during the 2012-13 season, but there will be competition for ice time within the Warriors' talented defensive group that will include Morgan Rielly returning from injury.