The former United midfielder is reportedly being lined up to lead the club for two days until another interim boss can be appointed after Jose Mourinho left the club on Tuesday morning.
Carrick made over 316 league appearances in a United shirt before retiring at the end of last season.
The former England man then became part of the United first team coaching staff, and now looks likely to make the step up to manager on a temporary basis.
Mourinho lost his job after much criticism, especially after a poor 3-1 defeat to rivals Liverpool at the weekend.
The Portuguese boss had an unhappy time in Manchester, and United will now look to replace the former Chelsea, Inter and Real Madrid man on a permanent basis.
Carrick though looks set to be named caretaker boss for now, until another temporary boss takes the helm at Old Trafford.