Leeds have now lost just three of their last 22 league games against Coventry - but the two most recent had both been at the CBS Arena, notably last April when a 2-1 defeat went a long way to costing the Whites promotion.
This time around the visitors dominated the opening 10 minutes, yet it was Coventry who served up the first meaningful effort when Jack Rudoni's powerful left-foot shot was held by Illan Meslier moving to his left.
On 17 minutes, a deserved Leeds opener duly arrived.
Coventry were clumsy clearing their lines from goalkeeper Oliver Dovin's kick, Ellis Simms lost the ball, Manor Solomon played in Piroe down the inside-left channel and there was little doubt about where it would end up as the visitors' top scorer almost mechanically drilled into the bottom right corner.
It was then 2-0 when full-back Bogle - part of Lampard's team in his first managerial role at Derby - was allowed to weave his way from out near the right touchline into the Coventry area, with only Dovin in his way. But the home keeper came up with a howler, meekly patting the back into his path - and Bogle strode on to tuck away his fourth goal of the season.
There could have been another before the break but Wales winger Dan James did not make the best of an overlap down the right.