Okereke replaced his international teammate, Emmanuel Dennis a minute before the half hour mark.
Senegalese forward Kreppin Diata put the home team ahead on the half hour mark.
Okereke netted the second goal in the 61st minute and added the third three minutes later.
Ruud Vormer scored the hosts fourth goal deep into stoppage time.
Okereke has now scored nine goals in 17 league appearances for Brugge this season.
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