United have now gone seven games without victory in all competitions -- their worst run since 1989-90 -- and speculation is rife that Van Gaal will pay for their slump with his job.
He had described the match as "must-win", but his side were deservedly beaten 2-0 at a windswept Britannia Stadium after Bojan Krkic punished a Memphis Depay error to open the scoring in the 19th minute before Marko Arnautovic slammed home a brilliant second goal seven minutes later.
He added: "It's more difficult because I'm also part of the four matches (in succession) that we have lost."
Van Gaal's side slipped to sixth in the table, three points below the Champions League places, with Stoke, managed by former United striker Mark Hughes, now three points behind them in 11th place.
After a highly eventful Boxing Day programme, Leicester City remained top despite a 1-0 loss at Liverpool after Arsenal failed to exploit their slip-up by capitulating at Southampton.
Shane Long struck twice in the second half, either side of a 69th-minute Jose Fonte header, as Ronald Koeman's side ended a five-game winless streak in fine style.
- City back on track -
======================
"We lost too many challenges today. They were sharper than us," Arsenal manager Arsene Wenger told BT Sport.
The result, Arsenal's fourth defeat of the campaign,
brought Wenger's side spiralling to earth after their 2-1 win over Manchester City last Monday and kept Leicester two points clear at the summit.
"We started to play too late," said Leicester manager Claudio Ranieri, whose side host third-place Manchester City on Tuesday.
"Liverpool pushed from the beginning and for this reason they deserved to win."
Manchester City reignited their title challenge by bouncing back from defeat at Arsenal with a breezy 4-1 win over second-bottom Sunderland that left them three points below Leicester.
Raheem Sterling, Yaya Toure and Wilfried Bony scored inside the first 22 minutes to put City in control, with Kevin De Bruyne adding a fourth before Fabio Borini replied for Sam Allardyce's side.
"The only pity was Vincent Kompany's injury," Pellegrini said. "It is a calf. It is difficult to understand."
- Costa brace -
===============
Tottenham Hotspur tightened their grip on fourth place by overcoming Norwich City 3-0 at White Hart Lane, where Harry Kane scored twice -- the first a penalty -- and Tom Carroll also found the target.
Diego Costa netted twice as Guus Hiddink began his second spell as Chelsea interim manager with a 2-2 draw at home to Watford, Oscar missing a late penalty that would have given the champions all three points.
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