The Whites continued their perfect start to the season making it three wins out of three at Adams Park.
Leeds welcomed back leading goalscorer Jermaine Beckford for the clubs first ever visit to Wycombe Wanderers.
Luciano Becchio also returned to the starting line up after being a substitute in the midweek Carling Cup victory.
Chris Zebroski missed a great chance to give the host`s the lead but his tame shot was easy for Higgs.
Beckford could have scored a couple before half time, his first effort caught the post and later he blazed wide when put through.
Leeds dominated in the second half and deservedly took the lead just past the hour when Luciano Becchio`s fierce shot from the edge of the area gave Shearer in the Wycombe goal no chance.
Despite Leeds domination, Wycombe almost snatched a draw at the death when Green`s effort was superbly tipped onto a post by Higgs and out for a corner.
The Wycombe keeper came forward for the corner and it nearly cost them a second goal when the ball fell to Beckford from the clearance and his long range shot just went wide of the post.
Shearer, Smith (Green 77), Oliver, Duberry, Woodman, Phillips, Montorse, Mousinho, Westlake (Pittman 62), Zebroski, Harold (Beavon 73)
Young, Westwood, Spiller, Johnson
Higgs, Crowe, Marques, Kisnorbo, Hughes, Snodgrass (Prutton 84), Howson, Doyle, Johnson, Becchio (Showunmi 90), Beckford
Ankergren, Robinson, Grella, Robinson, Kilkenny, Michalik
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