The midfielder beat off competition from teammates Neal Maupay and Aaron Mooy to claim the award, following his first goal for the club against the Cherries at the end of the month.
The Iranian, who netted Albion's fastest-ever Premier League goal for the Seagulls against Eddie Howe’s side, received 65% of the vote.
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Jahanbakhsh’s goal was added to by Aaron Mooy after the restart, as the Australian also notched his first goal for the club in the game to seal a 2-0 win to round off 2019 for Graham Potter’s men.