An official announcement is in the pipeline, and the Englishman deserves the opportunity to manage the club full-time after guiding United to Champions League football.
Carrick has won 10 of his 15 matches in charge since replacing Ruben Amorim in January, and while that is a promising start, the real work will begin this summer.
The 44-year-old will need to overhaul his squad to compete in Europe's elite competition, starting with a midfield rebuild following Casemiro's announced departure.
Casemiro will play his final game at Old Trafford against Nottingham Forest, and as will the out-of-contract Tyrell Malacia, while Altay Bayindir, Joshua Zirkzee and Manuel Ugarte are all set to leave this summer.
Zirkzee and Ugarte, in particular, are out-of-favour under Carrick and have attracted significant transfer interest, while club's from Turkey are looking to strike a deal for Bayindir.