The Ivorian international has been the subject of intense transfer speculation this summer, but his manager has stated no club has produced a firm offer as yet
The striker has been linked with a move away from the Liberty Stadium for most of the summer after netting 17 goals in 34 appearances during his first season in the Premier League.
Liverpool have been suggested as possible suitors as they continue in their search to replace Luis Suarez, but had a bid of £12.5 million turned down in July, with an improved bid yet to materialise.
And Monk stated on Thursday that no one has shown any interest in making an improved offer for their star man, confirming: "No offers have come into the club."
One man who could be on his way out of the Liberty Stadium is Jose Canas, with Monk announcing the club are helping the Spaniard to secure his next move.
"I spoke to him at the start of the season, for me he wasn't going to be part of my plans," he continued. "The way I wanted to go forward, he wasn't part of my plans and he understood that and now he's trying to find another club, and we're helping him."
Canas would join Chico Flores, Pablo Hernandez and Michu - loaned to Napoli - as the latest departure in Swansea's Spanish exodus, and Monk stressed he was only interested in keeping players who wanted to remain at the club.
"Michu, Chico and Pablo were all in the same situation, they came to me and we had a mutual agreement that they wanted to move on and I wasn’t going to stand in their way." said Monk.
"I’m only interested in players that want to play for Swansea."