That result left Mourinho's men nine points behind local rivals Manchester City in the Premier League table, which followed a third-round Carabao Cup exit at the hands of Championship side Derby County last week.
If he's still in charge when January arrives, there are four players Mourinho should consider who could solve United's centre-back problem.
Strachan agrees but thinks living up to the reputation of the club is too much for some players to handle.
United face Valencia in the Champions League at Old Trafford on Tuesday and ahead of the game Mourinho sent a pointed warning to his squad after a run of three games without a win including a wretched performance in a 3-1 loss at the London Stadium.
Manchester United are a club with proud traditions.
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"The players, they tried, they raised the level of their effort, they raised the level of their intensity".
"At the moment I don't see enough of them really digging deep and saying, "right I am going to take this game by the scruff of the neck, and make something happen".
"We had probably a couple of the biggest chances to win it but I have accepted the result as a fair result".
"I wanted a game like this", said Dybala, who has struggled for form since Ronaldo's arrival and started several games on the bench.
Do you think Mourinho's time at United is coming to an end?
"We anticipate everything that it could be risky, in the sense of arriving late but we were informed the police refused an escort".