The DR Congo striker is ready to travel to the Ukraine to finalise the move on a three-year contract even though Anderlecht have not confirmed whether they have agreed a fee for him.
The Belgian champions' asking price is believed to be £9million for the 27-year-old frontman, who scored 19 league goals last season.
Mbokani was waiting on an EU passport application which would have opened up the door for a move to the Premier League as he would not have needed a work permit.
But it looks as though his hopes of receiving the documentation have been hit, forcing him to consider Dynamo Kiev's offer which has been on the table for over a month.
West Brom had been chasing Mbokani but knew that they would have been struggling to get a work permit for him if they went to the Home Office as DR Congo are currently outside the top 70 on the Fifa World Rankings.