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Frank Lampard's side suffered a 3-1 defeat to City on Sunday, despite Pep Guardiola's squad being depleted by Covid-19.
Chelsea barely touched the ball despite being the home side and it's something Drury picked up on while commentating.
The Blues were 3-0 down in the second half and after a Kurt Zouma clearance, Drury remarked: "Chelsea have had their first touch since about last Tuesday."
Peter Drury is a savage:joy::sob: pic.twitter.com/rRsz1CqbMB
- J is for Jason. (@JMOOD__) January 3, 2021
Co-commentator and former Chelsea player Andy Townsend couldn't hold back a chuckle as City went on the attack once again.
It was revealed following the game that Lampard could be at risk of the sack if results don't pick up.
He spent £250 million in the summer and two key attacking players, Timo Werner and Kai Havertz, are yet to hit top form.
Despite speculation surrounding his job, Lampard said he'll 'always feel the heat' in the Stamford Bridge hotseat.
"I'm not going to speak for people above me - or the board - because I can never do that," he explained per The Sun.
"That's why I couldn't answer a month ago about me getting a new contract and why I can't answer what they're thinking about now.
"I will always feel the heat. I felt the heat when we were on our good run because I know that around the corner can be the negative.
"And we are not a team that has been churning out results and has got to the level of Liverpool or Manchester City.
"It is my job to focus on working on the players, not what the people above are thinking - that would just distract me and I can't do it.
"We went 16 games unbeaten and a month ago everyone was asking me about where we can go, where am I going to go, where's the new contract?
"Now people will be saying the opposite - I can't control that. The pressure remains constant in this job and you know in tough moments that will be there."
Chelsea are now eighth in the Premier League and winless in their last three.