Nicholson, who spent four years during the early 1990s at Pride Park, insisted that it is a win-win situation for both clubs if the players get the chance to play at Stamford Bridge on Wednesday.
"Talking to the Chelsea players and some of their staff after the game, they were all praising us and saying how good we were", Lampard said after the game.
"The defenders had more time, but they weren't as sharp as normal", he said. Chelsea were a little more controlled after the break and the manager's substitutions helped.
That could well be the biggest hurdle facing Mount in his hopes of making the Chelsea first-team when he returns from loan.
Ahead of kickoff, banners with the words "GOAL AFTER GOAL, GAME AFTER GAME" and "FOREVER A BLUE, ALWAYS A LEGEND" flanked a giant image of Lampard in the Matthew Harding Stand, emblazoned with the number 211 - his peerless goal tally for Chelsea.
"I thought he handled it really well".
Derby County tried all they could to score another goal in the second half, but they were unable to find the back of the net. Last time out, the Blues put on a strong XI to face Liverpool but could give Callum Hudson-Odoi his first start of the season as the games come thick and fast.
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Stephan Lichtsteiner, with his first for the club, and 18-year-old midfielder Emile Smith Rowe scored Arsenal's goals at the Emirates before Matteo Guendouzi was sent off for a second yellow card in the 56th minute.
"I'm sure he's looking to win but it's not easy at Stamford Bridge".
Yet for all their slick approach play, Derby's defence was constantly on edge, particularly with Ruben Loftus-Cheek at his rampaging best.
MF Mateo Kovacic, 6 - It felt like a statement when he shot from 20 yards the first time he got the ball.
Derby appealed for the initial lunge on Lawrence but referee Jonathan Moss opted against seeking assistance from VAR, much to the disappointment of the visiting players and supporters alike. His height and strength made him an outlet when Derby pressed and his powerful running on the ball caused regular panic.
Derby responded as Marriott coolly fired an equaliser into the far corner and, after Keogh's own goal - a deflection from another Zappacosta cross - they did so again when Mount turned provider for Waghorn. More of a threat late on but Scott Carson was equal to his best efforts. A meaningful end product, however, eluded him.
Derby have been granted permission by Chelsea to use on-loan duo Mason Mount and Fikayo Tomori - although Mount is a doubt due to a knock that he picked up against Middlesborough.