Poyet plans to offer West Brom £500,000 for on-loan right-back Reyes.
The Chile star, 26, joined Seagulls in October for three months, but has been limited to just three appearances by injury.
Tribal Football Staff are dedicated to the football tribes from all over the world. Our team is passionate about delivering football news to our hundreds of thousands of followers in all the corners of the globe. Football is life, It never stops, Neither do we.