Unsurprisingly, bookmakers have Lampard listed as an option to take over should Sarri depart Stamford Bridge, yet Chelsea's all-time leading scorer hopes the current boss can turn around the team's fortunes.
"It's certainly a club I respect and a manager that I respect so it wouldn't make me smile or anything different because my job is here", the former England global told British media.
"It's not nice and it doesn't happen to Chelsea much, so when it does it's a shock", he added.
"I'm working very hard and my whole thoughts are with Ipswich Town away on Wednesday, and travelling down to Brighton in the FA Cup (fifth round) at the weekend".
Sarri conducted training with his assistant manager Gianfranco Zola, a Chelsea icon, on Monday and meaning Zola is well placed to lead the club until the end of the season should the club's results continue to decline.
The Italian head coach believes that the players available to him are not able to produce the style of football he is looking to achieve at the club.
Derby travel to Ipswich Town for their next Championship fixture on Wednesday night, with the Rams now seventh in the table and eight points adrift of the automatic promotion spots.
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