The first bid, believed to be in the region of £300,000, was turned down by the Sky Blues last week.
However, Wolves have now failed with another proposal, which was worth around £500,000, according to the Express & Star.
Meanwhile, Pressley has confirmed that Clarke is likely to miss tomorrow's match against Leyton Orient with a foot injury and not because he has gone on strike in a bid to force through his departure.
"Leon is a doubt for the game tomorrow. He injured the heel in his foot during the Arsenal game. It is genuine injury and I would expect that to be the case. I have asked him to be professional and I'm sure that's the case. He is a major doubt for tomorrow's game so we have had to look around the squad for options," he told the club's official website.
Clarke handed in a transfer request earlier this month.