The 2-1 defeat at Anfield saw the Premier League champions dumped out of the FA Cup, with the Red Devils also exiting the Champions League before the last 16 stage.
However, United have responded well to defeats in the recent past. Sir Alex Ferguson's side bounced back from the 6-1 loss to Manchester City at Old Trafford in October by winning their next three games without conceding a goal.
"We’ve responded really well after the two disappointing moments of the season; the 6-1 defeat against City and then the losses against Blackburn and Newcastle around the turn of the year," the Northern Irishman told the Manchester Evening News.
"We went on a great run after the City game and then after New Year we've beaten both City and Arsenal away. That's what this team does.
"Every player at this club knows what’s expected. When you're at Manchester United you know defeats like that aren't acceptable. We don’t need anybody else to tell us that. We know it deep down.
"We’ve played really well against Stoke in the last few games, both at home and away.
"I think we've dealt particularly well with their long throw-ins. There isn't much of a run-up at Old Trafford on the side of the pitch, which probably helps.
"We've beaten them comfortably over the last few seasons but they're improving all the time and nobody ever looks forward to playing against Stoke. They have a different approach to the way most teams play."
