From a possible 18 points in the Premier League, Moyes's side have collected just seven, while they have also lost to rivals Liverpool and Manchester City.
However, the Red Devils won their opening Champions League match against Bayer Leverkusen 4-2 earlier this month. On Wednesday, the English champions will go up against a side that also emerged victorious from their first group fixture - Shakhtar Donetsk, who overcame Real Sociedad 2-0.
Having been left out of the weekend's 2-1 defeat to West Bromwich Albion, experienced defensive duo Nemanja Vidic and Patrice Evra are expected to return to the United starting lineup, as is Robin van Persie.
These two sides have never faced each other, but Shakhtar coach Mircea Lucescu was in charge of Inter Milan when they were knocked out of the Champions League at the quarter-final stage by United back in 1999.
Man United: LWWLWL
Possible starting lineups
Shakhtar: Pyatov; Srna, Kucher, Shevchuk, Rakitskiy; Hubschman, Teixeira, Costa, Bernard, Luiz Adriano; Taison
Man United: De Gea; Evra, Vidic, Evans, Rafael; Valencia, Carrick, Fellaini, Nani; Rooney, Van Persie
Sports Mole says: 1-1