Carrick is set to remain in charge of Manchester United for their next two fixtures despite a ninth consecutive game without victory, with the club's hierarchy expected to reassess his position during the November international break.
Saturday's 2-0 defeat against Chelsea at Stamford Bridge intensified the pressure on the United head coach, whose side are enduring their worst run of results in almost four decades.
Manchester United have now gone nine matches across all competitions without a win, leaving them 17th in the Premier League table and outside the relegation places only on goal difference.
According to reports, director of football Jason Wilcox and chief executive Omar Berrada are prepared to give Carrick further opportunities against Roma in the Champions League and Aston Villa in the Premier League before making a decision.
The two fixtures represent a significant period for the manager, who was already under scrutiny following a 3-0 defeat against Bournemouth last weekend.
United's hierarchy were again present at Stamford Bridge to witness another disappointing performance, although the latest setback has not immediately prompted a change in the dugout.
Carrick had been questioned about his immediate future following the Bournemouth defeat and subsequently faced further scrutiny after losing against Chelsea.
The former midfielder was asked by TNT Sports whether he expected to remain in charge for the next fixture and responded: “Yes.”
United initially competed reasonably well against Chelsea, but their inability to take advantage of opportunities proved costly.
Morgan Rogers broke the deadlock shortly after half-time, collecting possession following Romeo Lavia's interception before driving towards goal and producing an excellent finish over Senne Lammens.
The situation deteriorated further when Lisandro Martínez was dismissed following a second yellow card for catching Wesley Fofana with his arm during a corner.
Cole Palmer converted the resulting penalty to secure Chelsea's victory, leaving United with another damaging result and further questions about their defensive organisation.
The club's nine-game winless sequence represents their worst such run since 1988, while Carrick has won only two of his first 13 matches this season.
The reported decision to give him two more games suggests United's hierarchy are prepared to delay a final judgement until the international break. However, the pressure is unlikely to ease without a significant improvement in results.
Roma provide the immediate challenge in Europe before United travel to face Aston Villa, whose manager Unai Emery has himself been linked with the possibility of taking over at Old Trafford.
For Carrick, the next two matches could therefore determine whether he retains the confidence of the club's leadership or whether another managerial change becomes inevitable.