Referee Craig Pawson gave United a reprieve and the hosts soon regained the initiative to go close through Fred's left-footed curler and a long-distance effort from Paul Pogba which Lloris, playing despite his drink-driving arrest earlier this week, pushed away.
Jose Mourinho's future is hanging by a thread after Spurs ensured Manchester United got off to their worst start in 26 years.
And he took aim at journalists after the match, saying at the end of the press conference: "Just to finish".
Moreover, whereas Mourinho used to staunchly defend his players, at United he has routinely criticised his squad in public.
"I'll tell you the stats and why Man United were so good", Allardyce said on Tuesday's Alan Brazil Sports Breakfast.
Mourinho's defence missed a player of the same authority and a couple of errors from substitute Victor Lindelof, who replaced the injured Jones, almost gifted Spurs further goals. Romelu Lukaku rounded Hugo Lloris but sent his shot on the angle wide of the open goal from 12 yards.
But after a promising first-half they imploded in the second 45 minutes.
Exactly why United did not bring in a new player in that department, whether it be Leicester City's Harry Maguire, Tottenham's Toby Alderweireld or Bayern Munich's Jerome Boateng who were all linked with the club, remains unclear.
Mourinho's contract runs until 2020, but should United lose to Tottenham Hotspur on Monday night the feeling that he won't make it that far will be stronger than ever.
"I don't think its normal for a team to lose a game at home and for supporters to react [like that]", he said.
He praised United fans for their attitude at the end of the game, saying "all our fans don't read papers, all our fans don't watch television, all our fans are more intelligent than that and answered in an awesome way".