The 23-year-old has already completed his medical in the United States, with the examination conducted at the Moroccan national team base camp in Basking Ridge, New Jersey.
Bayern club doctor Dr Jochen Hahne oversaw the process, combining his club duties with his role in the German national team setup.
Saibari's arrival comes as Bayern look to recover from a frustrating start to the summer window, having failed to secure their primary attacking target, Anthony Gordon.
The English forward ultimately left Newcastle United to join Barcelona, forcing Bayern to recalibrate their offensive recruitment strategy.
Alongside Saibari, Bayern are also closing in on another major addition, with Eintracht Frankfurt left-back Nathaniel Brown now in advanced negotiations.
The German defender has already agreed personal terms, and a fee in the region of 55 million euros is expected to finalise the move. Combined, Bayern are set to invest approximately 110 million on the two deals.
Despite this aggressive early spending, internal planning suggests a more restrained approach will follow.
According to SportBild, via iMiaSanMia, Bayern are unlikely to pursue further major signings once these operations are completed, with any additional arrivals dependent on player departures.
Midfield reinforcement remains an unresolved issue after Leon Goretzka's free transfer exit. Bayern previously tracked Hertha BSC prospect Kennet Eichhorn, but his high agent fees have effectively ended that interest, with Bayer Leverkusen now emerging as favourites for his signature.