Having accepted personal terms with City, the 26-year-old will sign a five-year contract at Etihad Stadium.
Subject to a medical, the agreement offers further compensation should specific clauses be satisfied.
City wants to finalize a contract for Reijnders by time for the Club World Cup, which starts on June 14.
His arrival will help a section of the pitch that Mateo Kovacic, who has been excluded from the 32-team US tournament following Achilles surgery, has weakened become stronger.
With a trade to Serie A champions Napoli seeming increasingly imminent, midfielder Kevin de Bruyne is also anticipated not to be involved in the competition.
Reijnders is the kind of balanced midfielder City missed last season; capped 22 times for the Netherlands.
Last year, the Dutchman scored 15 goals in 54 games in all competitions for Milan, which helped him to be chosen as Serie A’s midfielder of the season.
His performances set against Milan’s poor campaign; the Rossoneri missed European qualification and finished ninth.
Reijnders’ career’s finest goalscoring season saw the 26-year-old hitting double digits for the first time.
Still, the former AZ Alkmaar midfielder—who debuted for PEC Zwolle in 2018—is considerably more than just goals.
Reijnders’ attractiveness to a coach like Pep Guardiola is obvious; he can play either deep or high in midfield.
The midfielder is skilled in beating the press either with his passing or ball-carrying and can grab the ball in close quarters.
Reijnders could either play alongside the Spaniard or in a more advanced capacity once Rodri returned from injury towards the conclusion of the season.
The major advantage he will provide, though, is providing Guardiola more midfield choices.
