Chairman Peter Ridsdale is denying any contact between the clubs.
"There has been no contact between Cardiff City and West Ham regarding the possible transfer of Ledley," said Ridsdale.
"Any suggestions that we have placed a price on him, or are having negotiations with any club about his future, is untrue.
"As we have already said, we are keen to keep hold of our squad."
Watch this space. Only a week or so to go until the end of the transfer window.