The Blues were beaten 5-0 in north London after a dreadful performance, with the centre-back scoring a 14th-minute own goal to start off the rout.
The defender was withdrawn at half time, shortly after a clearance from teammate Mason Holgate had slammed into the side of his head.
Lampard later said, "Michael has been unwell for the last couple of days.
"To be fair to him he put himself up for selection. We're short on centre-backs.
"We don't have options in that area of the pitch. As you see with any squad, if you lose two main centre halves it makes things very difficult.
"The reality is we conceded through that area tonight. Michael was more that he was struggling off the back of not feeling great."