Gary Rowett hailed Burton's "tremendous achievement" in reaching the play-offs - and then set his sights on following Gillingham up to League One.
Burton brought their regular campaign to a thrilling conclusion with a 3-2 win against Martin Allen's title-winning side and now take on Bradford in the play-off semi-finals.
Rowett said: "Gillingham have had their moment of glory and hopefully in two weeks' time we'll have ours.
"We've finished with our highest points total by a long way since we came into the Football League and we've finished fourth in the league.
"We've missed out on automatic promotion by not many points. It's been a tremendous achievement so far."
Myles Weston struck from the penalty spot for the Gills in the ninth minute after Bradley Dack had been tripped by full-back Aaron Webster. Burton were back on level terms in the 33rd minute when Billy Kee rattled home the rebound after a thunderous shot from Jimmy Phillips had hit a post.
Phillips was the provider six minutes later with a low cross that was tapped home by Michael Symes and then laid on a headed goal for substitute Calvin Zola in the 63rd minute.
Gillingham sub Nathan Nyafli had an immediate impact when he reduced the deficit three minutes later but it was not enough to salvage a point for the visitors.
Despite defeat, Allen was proud of his youthful Gillingham side.
He said: "I'm disappointed we didn't win but I thought the players did fantastically well since we had six out there making their Football League debuts."