United finished as runners-up last season, 19 points behind Manchester City, and Mourinho had made it clear that his team needed more players if they are to overhaul their neighbours.
However, the report suggests that the United hierarchy did not want to pay over the odds for players who did not come with a resale value, nor did they want to focus their attention on anyone who could only hold down places in the team on a short-term basis.
Leicester have failed to win in 7 previous Premier League matches against Manchester United with only one victory in last 18.
He becomes the sixth new arrival of the summer following the acquisitions of Ricardo Pereira, Jonny Evans, James Maddison, Danny Ward and Rachid Ghezzal.
Another line in the Guardian says "Yet the club have had to balance the manager's wishes, and the permanent battle to keep him happy, by taking into account Mourinho is notorious for wanting short-term measures, rarely stays too long at any club and does not tend to worry about what happens when he leaves".
How Mourinho reacts from now will be dictated to some extent by results, but the key objectives at the turn of the year have all been fulfilled as far as the club are concerned.
The United manager also wanted Marouane Fellaini re-signed on a new contract.
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The club did not consider any other centre-back on Jose Mourinho's wishlist of a similar value.
"He is a great player and my team mate from Chile".
Speaking at Carrington, Mourinho said: "If they feel they can help us, 20 minutes, ten minutes half an hour... I'd prefer to look to the bench and to have them rather than to have 16-year-old boys without experience and without the power to be Premier Leagues players directly", said Mourinho.
"I see [Pogba] very well but we need words with that small group to see if they can give us a hand".
While the United hierarchy is known to be reluctant to sell the young striker, Mourinho has endured a trying time in his relationship with Martial after he left United's American pre-season tour to attend the birth of his child and did not return - missing nine days of training.
"No miracles", he told a press conference (via United's official website). "I like to work with my players". We believe in the players so believe in yourself. One player linked with a move away before the end of the month is Chelsea's Eden Hazard.