The Red Devils manager bought himself some valuable time at Old Trafford following a 3-2 win over Newcastle United last weekend.
Manchester United came from 2-0 down to secure three points to end a four-game winless run in all competitions.
The 20-time English champions are in eighth spot and seven points behind leading pace Manchester City, Liverpool FC and Chelsea FC.
Mourinho was linked with a potential sack earlier this month amid talk of Zinedine Zidane taking over from the Portuguese head coach.
The 55-year-old won the Premier League title three times during his two spells in charge of Chelsea FC.
However, the arrival of Pep Guardiola and Jurgen Klopp has seen the introduction of a new style of play in the Premier League.
Former Chelsea FC winger Nevin believes Mourinho’s style still has place in the Premier League.
“I wouldn’t write Jose off yet,” Nevin told Irish radio station Newstalk on Monday night.
“He could get sacked after the Chelsea game they have coming up. Would that make him a bad manager? No. He is a different manager.
“I love the fact Jose is still in the Premier League. Sarri, Klopp and Pep are coming from the same angle. We need a different angle.”
Manchester United will make the long trip to Chelsea FC in their next Premier League game as the Red Devils look to record back to back wins in the top flight.
The Red Devils have a poor record at Stamford Bridge in recent seasons following three successive losses to Chelsea FC during Antonio Conte’s two seasons in charge of the west London side.
Mourinho had two spells at Stamford Bridge and won three Premier League titles, three League Cups and the FA Cup to go down as one of their most successful managers of all time.
The Portuguese head coach revolutionised Chelsea FC when he arrived from FC Porto in 2004, having led the Super Lig club to their first Champions League crown.
Indeed, Mourinho built one of the greatest Premier League sides during his first spell at Stamford Bridge to win successive Premier League titles in 2005 and 2006 – a feat only achieved by Manchester United.
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