The Dutch midfielder, who signed a new contract last summer and is currently recovering from a knee injury, has been linked with a number of clubs - including a move to join his former boss Roberto Martinez at Wigan.
But Jenkins is not prepared to sell and insists Bolton did not come close to meeting Bodde's valuation.
He told Swansea's official website: "We received a written offer from Bolton. The offer was worth around £2.5m.
"We believe Ferrie is worth a lot more than that and as a result we officially turned the offer down. In fact, we do not want to sell any of our players."