As for the Tigers, two successive defeats in the Championship have led to the club dropping down to 12th position in the table.
Frank Lampard has watched his Chelsea side make a habit of producing inconsistent performances throughout the season, and it has been no different for the Englishman over the past week.
The Blues dominated at Newcastle United and played with a man advantage against Arsenal for over an hour, yet Lampard's team were only able to record one point from a possible six.
Despite the obvious disappointment after conceding a last-gasp goal at St James' Park, twice failing to hold onto a lead against rivals Arsenal on Tuesday night would have hurt Lampard and his team, especially with the Gunners using a makeshift defence and midfield due to the dismissal of David Luiz.
The 2-2 draw further highlighted why Lampard remains so demanding regarding his team's struggles in the final third, and Saturday will represent a chance for the likes of Michy Batshuayi to stake his claim for a regular spot.
Tammy Abraham has just four goals from 13 outings, leaving Batshuayi with a window of opportunity to force his manager's hand when the team return to Premier League action on February 1.
Hull will be relatively pleased with their season so far, sitting 15 points clear of the relegation zone and just seven adrift of a place in the playoffs.
However, successive 1-0 defeats to Fulham and Derby County will have led to Grant McCann demanding more from his players ahead of welcoming Chelsea to Humberside.
The Tigers earned their place at this stage of the competition with a dramatic 3-2 victory at near-by Rotherham United, despite entering the closing 25 minutes of the game trailing by a 2-1 deficit.
Tom Eaves netted a hat-trick on that occasion, and the frontman will hope to be given the chance to build on his seven-goal tally for the season at the weekend.
Hull City FA Cup form: W
Hull City form (all competitions): LWWWLL
Chelsea FA Cup form: W
Chelsea form (all competitions): WDWWLD
Despite his knee injury not being as bad as initially feared, Reece James is unlikely to feature in the starting lineup.
While McCann will likely make alterations, he may still opt to hand Jarrod Bowen an opportunity to impress against higher opposition at a time when clubs are debating whether to launch a £20m bid for his services.
Hull City possible starting lineup:
Long; Lichaj, Burke, Tafazolli, Kingsley; Lopes, Kane; Bowen, Irvine, Samuelsen; Eaves
Chelsea possible starting lineup:
Caballero; Lamptey, Zouma, Tomori, Alonso; Barkley, Kovacic, Mount; Willian, Batshuayi, Pedro
We say: Hull City 1-3 Chelsea
Despite likely opting to make mass changes to his team, Lampard will expect a strong performance. Hull should be able to trouble their more illustrious opponents, although we feel that the class of the Blues will ultimately shine through.