Carrick is suffering from a calf problem but Lukaku has shaken off the ankle knock that caused him to miss Belgium's World Cup qualifier against Bosnia and Herzegovinia last week.
Gary Neville has warned Romelu Lukaku his Manchester United career with be defined by his performances against the likes of Liverpool.
Lukaku had been struggling with an ankle problem but proved his fitness by scoring against Cyprus earlier this week.
Everton should have anticipated the departure of Romelu Lukaku and signing Fernando Llorente ahead of the summer transfer window, insists Peter Reid.
Romelu Lukaku played the final 30 minutes during Belgium's win over Cyprus showing that he is fully fit ahead of United's clash against Liverpool.
Manchester United boss Jose Mourinho is unhappy with the handling of Belgium duo Romelu Lukaku and Marouane Fellaini during the recent international break.
The Red Devils have a seven-point advantage over their archrivals heading into the Anfield encounter on 14 October.
Romelu Lukaku and Phil Jones are expected to be declared fit when Manchester United travel to Anfield to take on Liverpool on Saturday (14 October).
Manchester United midfielder Marouane Fellaini will miss Saturday's trip to Liverpool after Belgium confirmed he has suffered damage to his medial ligament.
Romelu Lukaku has been training away from the rest of the Belgium squad owing to his struggles with an ankle injury.
Belgium boss Roberto Martinez says it will be "difficult" for Manchester United striker Romelu Lukaku to feature against Bosnia and Herzegovina on Saturday.
Belgium boss Roberto Martinez is set to decide on Friday if Romelu Lukaku will play against Bosnia and Herzegovina in Sarajevo this weekend.
United have won all and drawn only once thus far in the league this season.
Romelu Lukaku has already scored 10 goals this season.
According to a CIES study, Lukaku's value has soared to £140.52 following his summer move from Everton to United, having scored 11 goals in 10 games.
Rashford and Martial have been competing with each other for a starting berth in the United XI.
Manchester United striker is currently the leading goalscorer in the Premier League.
Lukaku skipped Belgium training on Monday (2 October) due an ankle injury.
The Toffees' defeat to Burnley on Sunday was their fourth in the last five Premier League games.
Lukaku, 24, has scored 10 goals in nine games for United this season.
United beat CSKA Moscow 4-1 on Wednesday, making it eight wins in the last nine games in all competitions.
Lukaku has scored 10 goals in all competitions so far, which includes six goals in the Premier League.