Gills unable to find a way back at Adams Park after conceding two early goals.
Wycombe scored twice in the opening seven minutes to help beat Gills 2-0 at Adams Park on Saturday.
Gareth McCleary opened the scoring after two minutes, and Brandon Hanlan found the back of the net five minutes later to double the Chairboys' advantage.
Vadaine Oliver missed a first-half penalty to reduce the arrears, with Danny Lloyd also coming close, but Wycombe kept their clean sheet, and maximum points.
Steve Evans made one change to the side that lost to Wigan last Saturday as Jack Tucker came back into the starting XI to replace Rhys Bennett for his 100th Gillingham appearance.
Kyle Dempsey had the first opportunity of the game. After some neat footwork by Danny Lloyd, he laid it into the path of Dempsey, who tried his luck with a left-footed shot. However, it was straight at David Stockdale.
Wycombe took the lead moments later through Gareth McCleary. Stockdale went direct from a goal kick, and the ball was flicked into the path of McCleary. He ran into the penalty area before smashing past Jamie Cumming.
In the seventh minute, Brandon Hanlan doubled the Wycombe lead. Curtis Thompson tried his luck from distance, and the ball eventually deflected into the path of Hanlan. He found himself in sufficient space before slotting past Cumming from close-range.
In the 26th minute, Gillingham won a penalty after Kyle Dempsey was fouled. John Akinde did brilliantly winning the ball in the air multiple times before Lloyd flicked it into the path of the Gills skipper. He ran onto it and was brought down, having got to the ball first, and Kevin Friend pointed to the spot.
Vadaine Oliver stepped up to take it, but missed the target as his attempt aimed towards the top corner went over the bar.
Alex MacDonald forced Stockdale into a save in the 39th minute. After some good work by Lloyd, he dragged it back to the edge of the area for MacDonald to strike first-time. Stockdale parried the ball back into the path of Oliver, but the Wycombe defenders managed to clear away before the Gills striker could reach the loose ball.
HALF-TIME: Wycombe Wanderers 2-0 Gillingham
Steve Evans made one change at the interval with Stuart O'Keefe replacing Daniel Adshead.
In the 58th minute, Joe Jacobson came close from a free-kick. It was in a central position on the edge of the box, but he could not loop it up-and-under the wall as it curled over the bar with Cumming at full stretch.
There was a nervy moment at the back for the hosts as Anthony Stewart tried to head it back to the oncoming Stockdale. It beat the Wycombe keeper, but there was someone on hand to clear away before the ball could bounce towards the line.
Cumming did well to deny Sam Vokes in the 64th minute. A cross towards the back post allowed Vokes to jump highest for the ball and direct a header at goal. Fortunately, the Chelsea loanee reacted quickly to get a hand on it to push it over the bar.
Cumming was called into action again as he saved Curtis Thompson’s effort from 20 yards. The rebound fell to Vokes, but Tucker did well to slide in front of it to block the shot.
Hanlan almost grabbed his second goal of the game after the ball fell to him on the edge of the area. He struck it first time with Cumming off his line, but the goalkeeper did well to react and get a hand onto it as the ball hit the foot of the post.
FULL-TIME: Wycombe Wanderers 2-0 Gillingham
Wycombe Wanderers: Stockdale, McCarthy, Stewart, Tafazolli, Jacobson, Thompson (Wheeler 88’), Scowen, Obita, McCleary, Hanlan (Mehmeti 84’), Vokes (Akinfenwa 84’)
Unused Substitutes: Przybek, Grimmer, Gape, Parsons
Gillingham: Cumming, McKenzie, Ehmer, Tucker, Tutonda (Bennett 74’), Adshead (O’Keefe 46’), MacDonald, Dempsey, Lloyd, Oliver, Akinde
Unused Substitutes: Chapman, Kelman, Lee, Reeves, Sithole
Referee: Kevin Friend