However, the Blues shouldn't be taking anything for granted as Lampard has been doing a fine job at Derby with the Rams sixth in the Championship table and they booked their place in the fourth round of the League Cup after beating Manchester United on penalties. Mount endured no such humiliation, instead building on a slightly over-eager start to provide an impressive assist and help power Derby's late surge.
"This wasn't the game for Mason to run it like he does", Lampard said after the game.
The 40-year-old former England midfielder received a rapturous reception on his first return to Stamford Bridge as a manager, soaking up the atmosphere before kick-off.
When, after all, have Chelsea kicked off a tie with 13 of their own players on the pitch from the start, as well as their most prolific scorer overseeing the opposition from the dugout?
The visitors had chances in the second half as Mount, Marriott and Keogh went close, while Chelsea's Gary Cahill was denied from close range and Alvaro Morata had a header saved by keeper Scott Carson.
On-loan Chelsea defender Fikayo Tomori missed his attempted clearance and watched in Halloween night horror as the ball ricocheted off his standing leg and deflected into the net to put the hosts ahead after five minutes.
Mount and Tomori are both on loan from Chelsea and Zola enjoyed the duo's performances.
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If Derby do end up knocking out Chelsea, there would surely be different questions being asked of the club, as is the work of the fans and pundits, so it is best to leave their business alone. This was not how he had envisaged scoring his first Chelsea goal in front of the Shed End. Lampard's last two Chelsea games against Fabregas were the semifinals of the 2011/12 Champions League, after Fabregas had returned to Barcelona. Chelsea won 6-1 on that occasion as the Rams were on they way back down to the Championship.
The Premier League giants moved into the EFL Cup quarter-finals after the tight win at Stamford Bridge on Wednesday.
Chelsea are still unbeaten in competitive games this season.
Tottenham Hotspur will join them after Son Heung-min scored twice in a 3-1 win over West Ham United and Arsenal reached the last eight after an uncomfortable 2-1 home victory over third-tier Blackpool in which both teams ended with 10 men. "The aim is to come up and play in the Premier League".