West Ham chief Sam Allardyce heads the next manager to go market at 1/4 after his side exited the FA Cup with a 5-0 defeat at Nottingham Forest.
Aston Villa boss Paul Lambert is 13/2 to be the next man out following Saturday's 2-1 defeat at home to Sky Bet League 1 side Sheffield United.
In the FA Cup outright betting, Manchester City remain favourites.
The 2011 winners, who were held to a 1-1 draw at Blackburn on Saturday, are 4/1 shots to lift the trophy at Wembley on May 17.
If they come through the replay, City will be at home to either Bristol City or Watford in round four.
Chelsea were trimmed to 9/2 after successfully negotiating a tricky trip to in-form Championship side Derby. The Blues won 2-0 on Sunday to set up a home clash with Stoke.
Our 8/1 picks Liverpool were also cut after seeing off Oldham 2-0 and gaining revenge for last season's fourth-round defeat. They can now be backed at 5/1 ahead of a trip to either Bournemouth or Burton.
Arsenal were the weekend's big winners in terms of the market. Their odds were slashed into 9/2 after they put out north London rival Spurs, winning 2-0 on Saturday night. They now play host to Coventry.
Everton are rated 'best of the rest' at 8/1 after their 4-0 demolition of Championship high-fliers QPR. Roberto Martinez, who won the trophy with Wigan last season, will now take his side to Stevenage in the next round.
Our 100/1 long shots Hull are into 50/1 having won at Middlesbrough and been drawn away to Southend in the last 32.
Meanwhile, holders Wigan, who drew 2-2 with MK Dons on Saturday, are 150/1 for a repeat success. They will play host to Premier League strugglers Crystal Palace if they overcome the Dons in the replay.