For the first time in 22 attempts, Cheltenham advanced past the second round of this competition with a penalty-shootout victory over Gillingham last month.
Alfie May cancelled out Vadaine Oliver’s opener and Michael Duff’s men held their nerve from the spot to set up this showdown with Championship side Preston.
It is worth pointing out that none of the last five teams playing their first-ever third-round tie in the EFL Cup have progressed to the last 16.
Town will be eager to put that right on Tuesday, though, and they enter this game in good form thanks to back-to-back wins over Charlton Athletic and Oxford United in the league.
Those wins have lifted the Robins up to ninth in the League One standings, one point off the playoffs as they seek a second straight promotion into the Championship.
Preston have more experience of competing at this stage, with this their third successive season in the last 32, though not since 2016-17 have they gone any further.
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The Lilywhites are unbeaten in their last six matches in all competitions, drawing the last three of those against Bristol City, Sheffield United and West Bromwich Albion.
Taking a point off West Brom on Saturday can be considered a positive result for Frankie McAvoy’s charges, with Ben Whiteman on target for Preston before Matt Phillips levelled up.
Those run of draws have not done much to improve North End’s position in the Championship, though, as they find themselves down in 17th place, only two points above the dropzone.
However, facing lower-league opposition for the third round running, this visit of Cheltenham provides Preston with an opportunity to prolong their cup run for at least a few more weeks