The Wildcats are now 6-1 on the year, while the Braves fell to 1-5. Despite allowing five Braves to score in double figures, Baker held Ottawa to just 41-percent shooting from the field.
The Wildcats led by as many as 18 points in the second half with 14:55 to go, but Ottawa clawed back and cut the lead to seven points with a Corey Smith three-point bucket with 3:25 to go.
But with key free throws down the stretch, Baker was able to escape with the six-point victory.
Smith led all players in scoring with 18 points, but took 18 shots. Julian Rose and Adam Hasty each had 13 points and Chase Dippel added 12 and Stephen Feighny had 11.
Ben Steinlage again led the Wildcats in scoring with 14 points and guards Jordan Honore and Chris Lockhart each had 11 points.
The Wildcats forced 11 turnovers and scored 22 points off of those turnovers. The Baker bench also poured in 47 points of offense.
Baba Diallo and Steinlage each had a team high seven rebounds and as a team, Baker collected 10 steals.
Baker will only have a couple of days off as they travel south this Thanksgiving Break to take on the St. Gregory's Classic tournament in Shawnee, Okla.
The Wildcats will face the University of Science and Arts on Friday at 6 p.m. and host St. Gregory's on Saturday at 4 p.m.