For the Manchester United boss, the pressure is piling up after successive home defeats to Everton and Newcastle United, but he will not be panic-buying when the transfer window reopens next month.
Mourinho is not facing the same intense spotlight, but Chelsea's loss at Stoke City has seen the Stamford Bridge chief question his team's hopes of winning the title.
Who else is making the headlines on Monday? Read on to find out more.
Manchester United manager David Moyes will not resort to panic-buying when the transfer window reopens in January, reports Martin Blackburn of The Sun (subscription required).
United have suffered consecutive home defeats to Everton and Newcastle to leave their Premier League title defence hanging by a thread.
However, Moyes is adamant that he will not be rushed into buying for the sake of buying next month:
In any transfer window you don’t want to be bringing in a full batch of players.
The last one would be a difficult one after just joining the club so we’ve got a window in January where we think if it’s right for the club we will do so.
If not, we will look again in the summer. This club is always looking to bring in the best talent and that won’t change.
Sam Wallace of The Independent claims Moyes is suffering from United's lack of stellar signings since 2006, bar Robin van Persie.
In the Daily Mail, Martin Samuel questions what the future holds for Moyes if the current situation is as good as it gets for the club.
Former England international Alan Shearer highlighted United players blaming each other during the Newcastle defeat as a factor for United's current poor form in his column for The Sun (subscription required).
Chelsea manager Jose Mourinho has written off his hopes of winning the Premier League this season following his side's 3-2 defeat at Stoke on Saturday, reports David Anderson of the Daily Mirror.
The Blues are five points behind leaders Arsenal, and Mourinho has played down any thoughts of lifting the title this season:
Who told you we are the first contender to win the league? I don’t think we are. I think we are one of the six teams that are potential contenders.
While other teams are on top of their game and have conditions to say, ‘We are on top of our game in terms of maturity, squad, balance in positions’, I think we are a team playing different than we did in the past.
Remember, that in the past two years, this team finished 25 points behind the winners and finished 14 points behind the winners.
We are not speaking with me about my team being champions last year or finishing one or two points behind.
The Stamford Bridge boss also questioned the killer instinct of his current strikers in the same article.
If you ask me would I like my strikers to score eight, 10 or 12 goals? Yes.
If we had eight, 10 or 12 goals, we would be top of the league. That’s a reality, but my strikers give everything and the team works hard.
If players are coming now or at the end of the season, probably at the end of the season, yes, because it is more normal, but no, I am not pushing for players now.
Mourinho has been linked with a move for Saint-Etienne defender Jacob Zouma, reports Alan Nixon of the Daily Mirror.
Elsewhere, Monaco insist striker and reported Chelsea target Radamel Falcao will not be leaving the club in January, according to Ben Burrows of the Daily Mirror.
Everton manager Roberto Martinez likened midfielder Ross Barkley to Paul Gascoigne and Michael Ballack after the 1-1 draw at Arsenal, reports Jeremy Wilson of the Daily Telegraph.
The England international was an inspirational performer for the Toffees at the Emirates Stadium, and his Goodison Park boss can see comparisons with previous world greats:
When I see Ross Barkley I see bits of Michael Ballack and bits of Gazza. But I can guarantee you Ross Barkley is quite unique.
He is someone you can compare to any other nation – I mean the young Brazilians, Dutch, Spanish players.
We have to recognise him as a real English diamond. He isn’t ready yet and it will take time but he has everything to mark a real era in our football.
Paul Hayward of the Daily Telegraph believes Barkley can prove to be a shining light for England at the 2014 World Cup finals in Brazil.
Meanwhile, Everton have been linked with a move for Heerenveen and Iceland striker Alfred Finnbogason next month with Nikica Jelavic set to depart Goodison Park, reports Alan Nixon of the Daily Mirror.
Safety of supporters at the 2014 World Cup has come under scrutiny after violence flared during a game between Atletico Paranaense and Vasco da Gama in Brazil at the weekend, reports The Sun (subscription required).
Shaun Custis of the same newspaper questions whether the Arena de Sao Paulo will be ready to stage matches, including England's game against Uruguay, after a crane collapsed into the building two weeks ago.
Meanwhile, England manager Roy Hodgson is relaxed about the time switch for his team's opening match against Italy, reports Gordon Tynan of The Independent.
The game was scheduled to start at 2 a.m. BST, but has been brought forward by three hours for television coverage, according to the article—meaning England and Italy will be playing in the Amazon heat.
England staff will all need injections to guard against diseases such as yellow fever and rabies ahead of the tournament, reports Owen Gibson of The Guardian.
The England international pulled up during the game and could be set for a six-week lay-off, which will see him miss matches over the festive period.
Inter Milan have refused to comment on reports that they have joined the race for Paris Saint-Germain striker Ezequiel Lavezzi, claims Ben Burrows of the Daily Mirror.
West Ham manager Sam Allardyce could be the next Premier League manager to lose his job, reports Matt Law of the Daily Telegraph.
Didier Drogba and Emmanuel Eboue could face disciplinary action from the Turkish football authorities for displaying tributes to Nelson Mandela on t-shirts under their Galatasaray jerseys, reports Matt Barlow of the Daily Mail.