The Clarets went down 4-0 to Tottenham Hotspur at the weekend and are now winless in three, while Leicester have lost back-to-back games in all competitions.
Leicester's campaign is at risk of crumbling, much like it did last season, on the back of losses to Slavia Prague and Arsenal over the last week.
The Foxes were stunned by Slavia in the Europa League last 32, going down 2-0 on home soil in the second leg, before throwing away the lead to lose 3-1 to Arsenal in the league.
Despite the defeat, though, City remain third in the table and five points above fifth-placed Chelsea, with reigning champions Liverpool a further point behind.
With a growing list of injuries to contend with, the latest being influential midfielder Harvey Barnes, Rodgers will know the importance of stopping the rot in midweek.
Burnley are themselves looking to kickstart their campaign, however, having followed up home draws against Fulham and West Bromwich Albion with a heavy defeat at Tottenham.
Two points from the last nine on offer, combined with Fulham showing signs of life, means that Burnley are now just five points above the relegation zone.
The Clarets' next three matches are all against sides in the top half, so that gap could well become even smaller by the time they travel to Southampton early next month.
Leicester were 4-2 winners when the sides met at the King Power Stadium earlier this season, but Burnley have won three of their last four against City in the league.
Burnley Premier League form: LDWDDL
Burnley form (all competitions): DLWDDL
Leicester City Premier League form: LWDWWL
Leicester City form (all competitions): WWDWLL
Burnley striker Chris Wood came through his cameo appearance against Tottenham without any issues and is in contention to start for the first time since the end of January.
Midfielder Dale Stephens is another who is back available after playing the final 10 minutes in North London.
As for Leicester, they could be without as many as nine first-team players for this trip to Lancashire.
Barnes is set to miss at least the next six weeks after undergoing surgery on his patella, while James Maddison is a big fitness doubt.
Jamie Vardy is another who is not at 100% and has only found the net in one of his last 12 appearances in all competitions, though Rodgers is unlikely to leave him out here.
Burnley possible starting lineup:
Pope; Lowton, Tarkowski, Mee, Taylor; Brownhill, Westwood, Stephens, McNeil; Wood, Rodriguez
Leicester City possible starting lineup:
Schmeichel; Castagne, Evans, Soyuncu, Thomas; Ndidi, Tielemans; Pereira, Under, Albrighton; Vardy
We say: Burnley 0-1 Leicester City
Injury-hit Leicester cannot afford for their losing run to stretch into a third game, particularly with the chasing pack - Chelsea, Everton, Liverpool and Tottenham - closing in.
No team has won more away Premier League games this season than City's nine and, against a struggling Burnley side, we can see them getting back to winning ways at Turf Moor.
Watch the Sports Mole Football Shorts prediction for this game below: