The Foxes are winless in five matches ahead of the midweek visit of Midlands rivals Birmingham, who have drawn four in a row to make it 13 without defeat in all competitions.
Since beating Brentford 1-0 in the last round through Kelechi Iheanacho's early goal, Leicester have exited the EFL Cup with defeat to Aston Villa and have picked up two points from the last 12 on offer in the Premier League.
Failing to overcome a struggling Villa side for a rare day out at Wembley was a big blow for City, though they do at least have the FA Cup to fall back on, a competition they have never previously won.
Indeed, Leicester's four final appearances without lifting the cup is the most of any team and is something Brendan Rodgers will be keen to put an end to.
Despite their loss of league form, the Foxes remain five points better off than Chelsea in fourth and have a further three-point margin on sixth-placed Wolverhampton Wanderers.
Champions League football next season is the target for Rodgers's men, though the season will have a twinge of disappointment to it should they fall short in another cup competition.
Birmingham do not exactly boast all that much FA pedigree themselves in recent times, having failed to make it beyond this stage since 2010-11 when going on to lose 3-2 to Bolton Wanderers in the quarters.
Their league form has also been patchy to say the least, with five draws on the bounce - most recently netting late on to draw 2-2 with Queens Park Rangers - leaving them 15th in the Championship and now nine points off the playoffs.
History is not on the Blues' side, however, as they have failed to progress from all six of their previous FA Cup ties with Leicester, most recently being eliminated in round three 21 years ago.
Should they end that run on Wednesday they will be one game away from Wembley. With their playoff hopes fast fading, the FA Cup is now City's best hopes of keeping their season alive.
Leicester City's FA Cup form: WW
Leicester City's form (all competitions): WLDDLL
Birmingham City's FA Cup form: WDW
Birmingham City's form (all competitions): WWDDDD
The striker is unlikely to be risked here, meaning another chance for Iheanacho - who has scored 10 goals in 13 FA Cup appearances - to impress upfront.
One positive for Rodgers at Carrow Road was the injury return of Wilfred Ndidi, who is now in line for his first start since the end of January.
Scott Hogan has scored six goals in seven league appearances since joining on loan from West Ham United in January and should retain his place for this game.
Jeremy Bela has scored in two of this three FA Cup appearances for Birmingham this season, including a 90th minute winner against Blackburn Rovers and a 120th minute equaliser against Coventry City in rounds three and four respectively.
Leicester City possible starting lineup:
Ward; Justin, Morgan, Bennett, Fuchs; Choudhury, Ndidi; Gray, Perez, Albrighton; Iheanacho
Birmingham City possible starting lineup:
Camp; Colin, Dean, Roberts, Pedersen; Crowley, Gardner, Sunjic, Bellingham; Hogan, Jutkiewicz
We say: Leicester City 2-1 Birmingham City
Leicester have not lost a home FA Cup match against a side from a lower division since a 2-1 defeat to Wycombe Wanderers in March 2001, winning 10 and drawing one of their 11 such games since. Despite being on a poor run of form, we are backing them to get the job done on Wednesday.