Defender Kone and midfielder Ndong are thought to have suffered dead legs during Tuesday night's 2-0 defeat at Arsenal and join defender Papy Djilobodji (thigh), midfielders Jason Denayer (also thigh) and Wahbi Khazri (knee) and striker Victor Anichebe (hamstring) on the sidelines.
George Honeyman is still struggling with a back problem, while fellow midfielders Jan Kirchhoff (knee) and Steven Pienaar (ankle), defender Paddy McNair and forward Duncan Watmore (knee ligaments) complete the long list of absentees.
Boss David Moyes is likely to bring Adnan Januzaj, Darren Gibson and Joleon Lescott into the starting line-up to and will take several youngsters to Stamford Bridge.
The Black Cats boss admits it will be a makeshift team that takes on the champions but is hopeful of getting a positive result.
Moyes said: "I don’t want to lose, I certainly don’t want us to embarrassed, that’s for sure. My biggest problem is that we’ve got 11 senior players out injured, which I’m nearly back to the worst time of the season, I've had to write them down.
"We’ll have to put a patchwork team out to try and get a positive performance. I thought the performance against Arsenal was positive for lots of reasons, we didn't get the result but we were obviously up against opposition of a much higher level than us."
Provisional squad: Pickford, Mannone, Jones, Manquillo, Oviedo, Love, O'Shea, Lescott, Cattermole, Gooch, Gibson, Borini, Rodwell, Januzaj, Defoe, Mata, Asoro.