Sanogo finished 10-for-16 from the floor for UConn while Tyrese Martin also notched a double-double with 19 points and a game-high 16 rebounds.
The Huskies (22-8, 13-6 Big East) gained the #3 seed in the Big East tournament by winning for the sixth time in seven games.
R.J. Cole, the Huskies' leading scorer with a 16.2-point average, never got untracked, netting just three points on 1-for-9 shooting. Cole did make two free throws with 21 seconds left to thwart a late comeback bid by DePaul (15-15, 6-14).
DePaul made it interesting late, rallying from an 18-point deficit behind 22 points from Javon Freeman-Liberty. The Blue Demons couldn't convert a late trip that could have trimmed the margin to one possession, knocking the ball out of bounds after a miss by David Jones.
The Huskies had ample production while regaining their footing following a loss earlier in the week at Creighton. UConn enjoyed a 48-24 scoring advantage in the paint behind Sanogo and Martin, and forged a 49-31 advantage on the glass.
The foul line proved problematic for DePaul, which missed eight of 14 free throws in the seven-point defeat. The Blue Demons had their three-game winning streak snapped while bidding for its first four-game streak since joining the Big East.
The Blue Demons remain an NIT hopeful, which would mark a positive start for first-year coach Tony Stubblefield.
Brandon Johnson scored 14 points and Jones 13 for DePaul.
Sanogo scored 10 of the Huskies' first 12 points and had 20 first-half points on 9-for-11 shooting as UConn broke loose for a 40-29 halftime lead.
They limited DePaul to 35.3% first-half shooting, although the Blue Demons got rolling in the second half, they never got closer than five points.