Jose Mourinho's side suffered a shock defeat - their first of the season so far - against Huddersfield Town in the Premier League on Saturday afternoon and the men from Manchester will be desperate to make amends when they line up against Paul Clement's charges; United are chalked up as a 4/9 (1.44) chance with bet365 to move into the last eight of the competition with a win at Liberty Stadium.
Swansea could certainly do with a morale-boosting result, for the side from south Wales have been beaten in three of their four fixtures since defeating Championship side Reading in the previous round of this competition.
The odds compilers, though, are anticipating another tough test for Swansea, with bet365 offering a chunky 15/2 (8.50) that the home side claim victory, while the same firm go 29/10 (3.90) that this tie remains level at the end of 90 minutes.
United were 4-0 winners when they last visited south Wales, with three of the goals coming inside the final 10 minutes of that match; bet365 offer a juicy 18/1 (19.0) that the scoreline is repeated on this occasion, and go 21/20 (2.05) that most of the scoring comes in the second half.
Both sides are expected to name very different starting line-ups from the teams that took to the field back in August, with both Mourinho and Clement likely to ring the changes for this Cup clash and it is the strength in depth afforded to the former that makes the men from Manchester such strong favourites to get a positive result.
United can be backed at 5/4 (2.25) to win by at least two clear goals in this game - a selection that would have landed in eight of United's 10 victories in all competitions so far this season - and it may well prove popular with punters here, while the same firm offer 17/20 (1.85) that there are at least three goals in the game; that particular play would have paid dividends in six of the last seven meetings between these teams.
Those expecting more late drama when this rivalry is renewed may well be tempted by bet365's 5/6 (1.83) quote for a goal to be scored inside the final 15 minutes of this fixture, but it is United's impressive defensive record that could provide punters with the clearest path to profit ahead of this match.
Mourinho's men have kept a clean sheet in eight of their 10 wins in all competitions this season and the 54-year-old Portuguese, having won this trophy last season, will be determined to see his side progress to the next round by seeing off the Swans in style.
United look like a solid selection to make an immediate return to winning ways when they face the out-of-sorts Swans, but best value could lie in backing the men from Manchester to win Tuesday's Cup clash without conceding at 13/10 (2.30) with bet365.