As a consequence of their thumping win against Slaven Bilic's side, Jose Mourinho's men are at the top of the table after the opening round of fixtures and the men from Manchester will be determined to maintain momentum when they travel to south Wales on Saturday afternoon.
United are bet365's 4/11 (1.36) favourites to pick up all three points from their meeting with Paul Clement's charges, with 8/1 (9.0) that the Swans, who earned a hard-fought goalless draw against Southampton at St Mary's last weekend, are winners in their first home fixture of the campaign. There is 7/2 (4.50) that both teams are forced to settle for a share of the spoils.
Mourinho's team played with a swagger against the Hammers, looking confident and clinical and their belief will surely have been further enhanced by summer signing Romelu Lukaku marking his first Premier League appearance for the club with two goals.
Should United turn in another impressive showing here, the 13/8 (2.63) quote for the visitors to score more than two goals could well offer good value.
There have been goals at both ends in each of the last six meetings between the teams and 11/10 (2.10) is available that the trend continues here, while all but one of those six matches have featured at least three goals - the odds compilers offer 17/20 (1.85) that there are more than two goals scored when the rivalry is renewed this weekend.
Mourinho's team were rarely troubled in their victory against West Ham last weekend and the 54-year-old Portuguese will be confident that his side can put in another disciplined defensive display in south Wales.
The Swans will likely identify solidity as a potential strength of their own and, in that respect, Clement's men opened the campaign well in keeping a clean sheet against Southampton. A repeat of that feat in this match looks tough, however, and bet365 offer a chunky 6/1 (7.0) that the Swans keep Manchester United at bay.
Swansea showed superb fighting spirit to stave off the threat of relegation last term, but Clement's charges have been shorn of much of their creative spark for the early part of this campaign with Fernando Llorente injured, while the Swans have sold Gylfi Sigurdsson to Everton.
Swansea's lack of cutting edge in the final third is a considerable concern and an issue that Clement will surely be keen to address before the transfer widow closes.
Manchester United, though, look to be ideally placed to take full advantage of their toothless hosts and bet365's 21/20 (2.05) quote for the visitors to win without conceding could represent good value for punters ahead of Saturday's showdown.