After a slow start, the Black Cats took the lead on the stroke of half-time when Ross Stewart’s finish beat goalkeeper Joe Bursik.
Sunderland then defended admirably in the second half, while still posing a threat on the break.
The result means Neil’s side have taken eight points from their first five Championship fixtures this season
Our chief SAFC writer Phil Smith has dished out his player ratings from the bet365 Stadium:
1. Anthony Patterson - 7
Made an important stop from Cundle at an important part in the game, though it was a poor effort in a big opening. Distribution was good, and little he could do about the goal. 7 Photo: Frank Reid
2. Jenson Seelt - 6
Unlucky with the goal, an excellent cross from Gooch that he turned into his own net. Stuck at his task well otherwise. 6 Photo: Frank Reid
3. Dan Ballard - 6
Generally had the better of Campbell in their duel on another strong showing. The one disappointment was a late yellow card (a tackle he had to make) that moves him now just one booking away from a two-game suspension. 6 Photo: Frank Reid
4. Luke O’Nien - 7
Made an absolutely crucial goal line clearance at 0-0, Bae Jun-Ho’s effort was goal bound and could have changed the entire complexion of the game. 7 Photo: Frank Reid