Andrea Orlandi and David Lopez scored in the last 30 minutes at the Riverside to maintain Albion's hopes of promotion.
Poyet's men are in the play-off spots, and he insists Brighton must take care of their own results in order to stay there.
"We are in the play-off places again but to be truthful I am not looking at the table or at other results," Poyet said.
"We have to only look after ourselves. We are in their now and if we win our remaining games we will stay there."