Hull kicked off their League One campaign with a 2-0 victory over Gillingham, and a third-round clash with either West Ham United or Charlton Athletic lies in wait for the victors.
Leeds ultimately came out on the wrong end of the scoreline following a seven-goal thriller at the home of reigning champions Liverpool, but notching up three goals at Anfield is a remarkable achievement in itself for a newly-promoted side.
Marcelo Bielsa's men should be looking ahead to the rest of the Premier League season with a sense of optimism, but the Whites must now turn their attention to the EFL Cup - a tournament which they have been knocked out of at the second-round stage in the previous two seasons.
Leeds have lifted the trophy once when Don Revie led the Whites to a 1-0 victory over Arsenal in the 1967-68 campaign, and Leeds have reached the final only once since, where they lost to Aston Villa 3-0 in 1996.
Stoke City and Preston North End have knocked the Premier League side out of the competition at this stage in the past two years, and while Bielsa will be expected to give some of his up-and-coming players a run-out on Wednesday, the Leeds faithful will be confident about their side's chances of advancing to the third round.
Hoping to spoil the Leeds party is Hull, who made the perfect start to life in League One with a comfortable 2-0 victory at Gillingham on Saturday.
The Tigers suffered a truly dismal end to the 2019-20 campaign as they finished rock bottom of the Championship table, during which they were also knocked out of the EFL Cup on penalties by Preston in the second round.
Grant McCann's side were made to work for their first-round victory over Sunderland and ultimately went through courtesy of a 5-4 penalty shootout victory, with Matt Ingram's save from Will Grigg proving decisive as Hull converted all of their spot-kicks.
However, the Tigers have been sent packing at this stage of the tournament during the last three seasons, although Hull did manage to reach the semi-finals of the 2016-17 edition, where they fell to eventual winners Manchester United.
Leeds did the double over the Tigers when the two sides were plying their trade in the Championship last season, with a 2-0 victory at Elland Road followed up by a 4-0 triumph at Hull back in February.
Leeds form (all competitions): L
Hull EFL Cup form: W
Hull form (all competitions): WLW
Fellow recent arrivals Cody Drameh and Joe Gelhardt turned out for the Under-23 side on Monday and are not expected to be involved here, but Liam Cooper should return to the fold after missing out the clash with Liverpool through injury.
As for Hull, McCann will also be expected to shuffle the pack as Hull look ahead to their league fixture with Crewe Alexandra at the weekend.
Leeds possible starting lineup:
Casilla; Shackleton, Cooper, Koch, Davis; Struijk; Poveda, Roberts, Klich, Harrison; Rodrigo
Hull possible starting lineup:
Ingram; Emmanuel, A. Jones, Burke, Fleming; Docherty, Batty, Honeyman; Wilks, Magennis, Scott
We say: Leeds 2-0 Hull
Leeds proved that they are capable of mixing with the big boys following a dogged performance at the home of the champions, and while Hull dispatched Gillingham with relative ease at the weekend, Leeds will simply be too strong for the League One outfit and we are backing Bielsa's side to get the job done with minimal trouble on Wednesday.