Earlier this month, Goal exclusively revealed that Liverpool are ready to submit an improved offer of £15 million for the Ivorian, although Swansea are looking to hold out for a fee in the region of £19m.
Bony joined Swansea in a £12m deal from Vitesse last July and scored 16 goals in 34 Premier League appearances in his debut campaign.
"Wilfried Bony is a fantastic guy to have around the club. He was a great professional with us last season and he’s the same now," Jenkins told talkSPORT.
"If a club come in for him, a top Champions League club, and put the right offer on the table he knows full well we will speak to him about that.
"We are open like that. I think we have to be. As much as we want players to stay with us, we’ve also got to be realistic with where we’re at and try to make sure we continue to bring good players into the club."