Lawrence hosting on Thursday, with Kim Kardashian as a guest and musical performers Linkin Bridge.
The 49-year-old presenter's six-month-old son Billy was due to undergo an invasive operation, after he was born with a congenital heart defect and needed immediate surgery, but the follow-up procedure was cancelled because the family have been hit with colds.
Grohl also infamously had a drum battle with Animal, the Muppet's drummer on the Jimmy Kimmel show a few years later.
Retired basketball superstar Shaquille O'Neal hosted Monday night's show with Mila Kunis as the guest, Foo Fighters' Dave Grohl will front the Halloween episode with Kristen Bell and Alice Cooper, and Channing Tatum will take charge on Wednesday with Ellen DeGeneres as his guest.
A statement from ABC said Kimmel is "very grateful" to those celebrities "for filling his very small shoes as guest hosts this week while he, his wife, and children sneeze on each other". Oh um, reality star Kim Kardashian. "I'm sorry, but that's hilarious", O'Neal said afterwards.
She continued, "I'd never met her before, but we've always watched Keeping Up With the Kardashians". Lawrence and Tatum will be seen playing the host in the coming days.
Jennifer recounted the incident to the NY times saying: "So I'm there, and people start singing Happy Birthday".