Allardyce was aware of the Red Devils' hunt for a new centre-back and had plenty to say ahead of the transfer window slamming shut.
Several transfer targets were identified but failed to materialise and it seems the United boss doesn't fancy his chances of closing the considerable gap on Champions City with the pool of players left at Old Trafford.
Summer signing Fred is expected to make his Manchester United debut on Friday but several other players are missing.
Leicester have finally cashed in on Riyad Mahrez but they've shown characteristic resolve to rebuff United's interest in Harry Maguire.
In reality an intermediary had contacted United a few days earlier asking whether they would be interested in the experienced 32-year-old.
The Chile worldwide, 29, said he feels more comfortable at United now following a full preseason with the club and hopes to combine more effectively with teammates Paul Pogba and Romelu Lukaku this term, beginning with the season-opening match against Leicester City on Friday. There was no offer made for Toby Alderweireld at Tottenham.
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Former Manchester United striker Michael Owen believes Paul Pogba and Alexis Sanchez are set for a "defining season" at the club. To know how they feel physically mentally to try to give us a help.
After they host Leicester, United's other fixtures this month are a trip to Brighton & Hove Albion on August 19 and a home match against Tottenham Hotspur on August 27.
There was no question of Pogba being allowed to leave and there remains great support for Anthony Martial at the club, with every inquiry about him over the summer being met with a firm refusal. Yet, Mourinho will be looking to see his team collect three points in front of their own fans.
"No miracles", he told a press conference (via United's official website).
"I have my players and I like my players, I like to work with my players", said Mourinho. "When you repeat 1,000 times that my relationship with my players is not good, it's a lie, repeated 1,000 times".
"I like my players and my group".