Hulk is the subject of interest from two Premier League clubs, according to FC Porto's media officer.
However, with Friday's transfer deadline looming, Porto have told Hulk that he must move quickly to find a resolution if he wants to move on from Estadio do Dragao.
"Tuesday or, maximum, Wednesday, there will be a solution," said Felleger.
"There are three proposals from abroad - two English clubs and Zenit ]St. Petersburg] - there are talks with the player and with Porto.
"Staying in Porto is also a real possibility. He is very satisfied and there is no problem."
It is believed that Porto would be willing to sell the powerful forward for €40m (£31m).