The Swans have been in pursuit of the 24-year old Ivory Coast striker for some weeks now and his agent Dalibor Lacina has revealed that a contract is close to being sorted.
"We are glad that Bony has made the next step in his career after playing for Sparta Prague and Vitesse Arnhem," Lacina told CTK.
"The transfer to the Premier League he has made his dream come true. Swansea is a big move for him and he is looking forward to working with the coach Michael Laudrup."
It is believed that Bony, who scored 31 Dutch Eredivisie goals last season, will cost Swansea around £12million.