In terms of the Premier League, the Scot has seen his side endure a run of four matches without a victory, the last two of which have ended in home defeats.
As far as United are concerned, they have already qualified for the latter stages of Europe's top club competition. A win against the Ukrainians would seal top spot, as would a draw.
In terms of team selection, Moyes will be able to call upon Wayne Rooney after the striker served a one-match domestic suspension last time out.
Visiting Shakhtar, who will pip the Red Devils to first spot if they leave Old Trafford with all three points, have no injury concerns. What's more, they go into the encounter having won their last four games in all competitions.
Failure to record a victory would leave Mircea Lucescu's men requiring Real Sociedad to claim at least a share of the spoils from their fixture with Bayer Leverkusen if they are to progress.
When these two sides met earlier in the competition, the match ended in a 1-1 draw.
Man United: WDWDLL
Possible starting lineups
Man United: De Gea; Rafael, Vidic, Evans, Evra; Valencia, Jones, Giggs, Kagawa; Welbeck, Rooney
Shakhtar: Pyatov; Srna, Kucher, Shevchuk, Rakitskiy; Hubschman, Teixeira, Costa, Fernando, Bernard; Adriano
Sports Mole says: 1-1