Earlier this month, Goal exclusively revealed that the Reds are ready to submit an improved offer of €19 million for the Ivorian, although the Swans are looking to hold out for a fee in the region of €24m.
Bony arrived at the Liberty Stadium in a €15m 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," Swansea chairman 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."
Liverpool are looking to strengthen their attack following the loss of Luis Suarez to Barcelona and pulled out of their bid to sign Loic Remy from QPR over the weekend.