The young Swede has joined the Championship club on a season-long loan.
Brighton boss Graham Potter is a former Swans manager and is happy for Gyokeres to continue his development at the Liberty stadium.
Gyokeres revealed Potter - as well as his former Swansea staff members Billy Reid and Bjorn Hamberg - had recommended he moved to Wales.
"I spoke to them a little bit as they had been here," Gyokeres told Swansea's website. "They only had good things to say and that made me more comfortable to come here and play here."