The Red Devils were surprisingly beaten 1-0 by the league's bottom club in front of their own fans on Sunday, handing the title to local rivals Manchester City in the process.
However, having won three and lost none of the last four encounters with this opposition, United are available at 8/11 (1.73) with dabblebet to return to winning ways straight away here.
Eddie Howe's men, though, have lost just one of their last nine home fixtures, and are priced at 15/4 (4.75) to add to their guests' misery by pulling off another upset in this one.
Four of the hosts' last seven league matches have resulted in draws, and you can get odds of 14/5 (3.80) on them playing out yet another stalemate.
Adam Smith and Junior Stanislas are likely to miss out through injury, while Tyrone Mings is still short of match practice.
As if losing to the league's worst team isn't bad enough, Sunday's defeat was made even worse as it saw neighbours City lift the trophy.
With an all important cup semi-final clash coming up, Mourinho will be determined to see a reaction from his players.
This should not prove too challenging against the Cherries, who have only won once in eight games and were easily shrugged aside by Liverpool at the weekend.
Therefore, odds of 8/11 (1.73) seem generous on United securing a morale-boosting victory against a Bournemouth team they have beaten in three of the last four encounters.