The 50-1 chance is trained by Paul Nicholls and has had seven wins in 31 races.
"I've been preparing As De Mee all season with the Grand National in mind," Nicholls told the betfair.com website on Wednesday. "Hopefully he might get there next year if he is back in full training by Christmas."
Dench, who shares ownership with Andy Stewart, bought her stake in the horse in 2014.
(Reporting by Alan Baldwin; Editing by Alexander Smith)
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