Per The Mirror and other sources, the two clubs have agreed a fee for Mazraoui.
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The Red Devils are working to replace wantaway defender Aaron Wan-Bissaka, who is linked to West Ham United.
Mazraoui had originally been linked to West Ham, but that deal did not materialize.
The 26-year-old, who has experienced injury issues in recent years, played for United boss Erik ten Hag at Ajax.
United have signed Joshua Zirkzee from Bologna for £36.5m and Leny Yoro from Lille for an initial £52m.