First-half goals from Ross Stewart and Elliot Embleton put the Black Cats in control as the hosts defended well when they were put under pressure.
The Black Cats could have scored more goals at the start of the second half before Stewart sealed the win with a neat finish seven minutes from time.
Wycombe did pull a goal back in stoppage-time as David Wheeler’s deflected shot made it 3-1.
The result moved Lee Johnson’s side to the top of the table as other results went their way in League One.
Sunderland will now have to wait two weeks until their next match, though, because of the international break.
Our chief Sunderland writer Phil Smith has delivered his verdict on how each player fared at the Stadium of Light:
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1. Anthony Patterson - 9
The maturity with which he handled the occasion was quite remarkable. Claimed crosses, dominated his box, used the ball well and stood tall on the one occasion his team really needed him. What a rise. 9 Photo: JPI Media
2. Lynden Gooch - 8
Another tenacious performance out of position. The kind of selfless approach that has hauled the Black Cats over the line. What a moment for a player who has given it everything for his club for years. 8 Photo: Frank Reid
3. Danny Batth - 9
A domineering display at the heart of the defence. Made countless blocks, won his headers and never made an error on the ball. He has been integral to this late surge to promotion. 9 Photo: JPI Media
4. Bailey Wright - 8
Made one misjudgement in the second half but his goalkeeper was there to make the save. Outstanding otherwise, superb in his duel against the dangerous Vokes. 8 Photo: JPI Media