With former Southampton boss Ralph Hasenhuttl now out of the bookies thoughts, Lampard finds himself back in the position nobody wants as favourite to be next manager to get the sack at 4/1.
Lampard made eleven changes as the Toffees' went down 4-1 at Bournemouth, as the manager admitted his side "were poor".
Moyes is not too far behind the beleaguered Everton boss at 6/1, shortening again from 10/1 after West Ham's last minute defeat to Crystal Palace on Sunday.
West Ham went out on penalties on Wednesday night to a youthful Blackburn side, with defender Angelo Ogbonna missing the crucial penalty as Rovers won 10-9 on spot-kicks in a marathon shoot-out.
West Ham coach Mark Warburton said the players "let themselves and the fans down".
Leeds boss Jesse Marsch can't breathe too easy yet either, as he is third in the market at 15/2, with Brentford head coach Thomas Frank drifting to 12/1.
Steve Cooper is at 8/1, although some bookies are less impressed with the Forest boss and are offering between 3/1 and 6/1 for his head.
Chelsea's Graham Potter and Spurs' Antonio Conte lurk dangerously at 14/1.
New Southampton manager Nathan Jones makes his debut in the market at 33/1 before even a ball is kicked. He'll no doubt be favourite by Christmas when the Premier League kicks back into gear.