The Swans are still chasing the star striker but the personal terms continue to be a stumbling point as his Stade de Gerland contract runs down.
It is said that Gomis is ready to snub the Ukrainian club to keep Swansea City hopes of landing him.
Lyon are desperate to cash in on the £8m-rated striker as the 27-year-old has only one year left on his current deal.
“Shakhtar Doentsk gave us a beautiful proposal and i hoped we would come to an agreement with the club,” Jean-Michel Aulas, Lyon president was quoted as saying in the French media.
“Either I can find a club that suits him and everyone is benefiting in world Cup year or we will lose.” Aulas added.