The Latics owner has played down the Republic of Ireland midfielder's chances of moving to Goodison Park, slamming the proposed payment structure as "madness"
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But the Latics owner has quashed reports that the Republic of Ireland international could be reunited with former boss Roberto Martinez, and says the club are far apart in their valuations of the player.
"Everton not offering what we're looking for. [I] don't think deal will happen now," Whelan told BBC Sport.
The Latics rejected an offer thought to be near £10 million on Sunday and the clubs are no closer to reaching an agreement, with Whelan slamming the payment structure suggested by Everton.
"We wanted payment over 12 to 18 months," he told talkSPORT. "4 years is madness."
Wigan have also announced a deal to bring Manchester United midfielder Nick Powell on a season-long loan, providing further midfield options should Everton not increase their offer for the highly-rated McCarthy.