Bielsa's opposite number Lampard had the last laugh, however, with Jack Marriott's introduction from the bench proving pivotal as the forward struck a decisive brace.
Derby were attacking with pace and invention and scrapping for every ball in midfield but Leeds, managed by Argentine Marcelo Bielsa, were able to get back on level terms on aggregate with a fine effort from Dallas.
However, the Rams claimed the sweetest possible revenge as they became the first team ever to lose the first leg of a Championship play-off semi-final at home and still progress to the final.
"We were 1-0 down, I said to the lads everyone had written us off".
"The work rate through the year, players coming in, we're not there yet, I watched Villa do this [celebrate reaching the final], but the players deserve it".
Frank Lampard spent two decades as one of the Premier League's best midfielders.
To assist them with their quest of overturning Leeds' advantage, Derby are hoping that Martyn Waghorn and Ashley Cole will be available to play, after injury ruled them out of the first leg.
Mason Mount levelled the aggregate score once again in the first minute of the second half.
Jack Marriott came off the bench to score twice for Derby, including an 85th-minute victor in a pulsating encounter in which both teams were reduced to 10 men. Now at Elland Road, it is advantage Leeds.
Leeds went down to 10 men though in the 78th minute after Gaetano Berardi was dismissed after a second yellow card for a late lunge on Bradley Johnson.
The were jubliant scenes amongst the Derby players at the final whistle, but Lampard insisted attention would quickly turn to their Wembley date with Villa.