The Premier League champions are set to sign the 19-year-old as a free agent.
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Mubama, whose contract at West Ham ran out in the summer, will sign for a set compensation fee that the Hammers will receive.
The England Under-20 international has chosen to join City over many other European and English teams.
He is likely to go into the club’s under-21 team for the coming season, given his age.
However, the club do see him as one who can quickly transition into the first team picture.