The visitors are in good form but remain eight points behind England’s top six, so this competition is their last realistic avenue into Europe.
Leicester are 10/17 (1.59) with SportPesa to show their pedigree and enter the Fifth Round without a replay.
Peterborough have won five of the past seven London Road (ABAX) meetings with Leicester - one of which came when both won League One promotion in 08/09 – and another home triumph is 9/2 (5.5).
In the last seven FA Cup fixtures in which a third-tier side has hosted top flight opposition, the underdogs have won four and drawn three, so the 3/1 (4.0) on a stalemate holds appeal.
Versatile forward Fousseni Diabate recently signed for Leicester from Ajaccio and is tipped for a first appearance while Jamie Vardy, who made his Football League debut against Posh in 2012, could feature.
Peterborough midfielders Leo Da Silva Lopes and Gwion Edwards are injured but dynamic front-man Junior Morias is now fit.
Foxes for a clean sheet?
Leicester are yet to concede in 2018 and there could be value in backing them to win to nil at 7/4 (2.75).
While Peterborough have scored 15 in five in this competition, four games came against National League sides.
Tips and predictions
Peterborough should give Leicester a scare, they have shipped 23 second half goals, the joint-sixth most in League One.
Their visitors should have firepower on the bench so for our best bet, we’re taking the 16/5 (4.2) on the ‘Half-time/Full-time X/2’, rewarded if the game is level at the break with Leicester victorious after 90 minutes.Half-time/Full-time X/2 16/5 (4.2) with SportPesa