Getting the team through to the knockout stage of the Champions League wouldn’t do him any harm in the ingratiation process.
Three days after guiding Spurs to a Premier League victory at West Ham United in his first match since replacing Mauricio Pochettino, Mourinho will take charge of them in a home match for the first time when Olympiacos visit on Tuesday.
A victory guarantees progress out of Group B alongside Bayern Munich with a game to spare.
It would complete a decent week’s work for two-times Champions League winning coach Mourinho as he attempts to rebuild his reputation after a fractious, and ultimately disappointing, two-year spell at Manchester United that ended almost 12 months ago.
Elsewhere this week, seeking a win to advance along with Juventus in Group D, Atletico Madrid are well aware of the dangers of a rested Cristiano Ronaldo.
The Juve striker was rested at the weekend, as he continues to recover from a knee issue, with the Italian champions keen to secure top spot in the group on Tuesday.
Borussia Dortmund coach Lucien Favre has little room for error when they visit the Camp Nou on Wednesday to take on Group F leaders Barcelona.
Both teams are favoured to advance to the last 16 but Inter Milan are also in the mix.
Real Madrid will seal their progress from Group A by beating Paris Saint- Germain, who have already secured a place in the next phase, on Tuesday.
Group C leaders Manchester City will advance by beating Shakhtar Donetsk at home on Tuesday.
Champions Liverpool have a one-point lead over Napoli heading into their meeting on Wednesday in Group E, in which Salzburg is a further four points back before they face out-of-contention Genk.
In Group H, Ajax, Chelsea and Valencia are all on seven points with the Spaniards hosting Frank Lampard’s men.
Leipzig and Lyon can advance from Group G by beating Benfica and Zenit St. Petersburg respectively.