Proceeds from Sunday's auction will go to the Brain Research Foundation at the University of Chicago, the Chicago Sun-Times reported Thursday. Drury was diagnosed with the disease last year.
Drury began his collection of classic toys to bring back childhood memories. The collection, dating back to 1926, includes rare, mint-condition A.C. Gilbert Erector Sets and the Mysto Magic Set.
"He doesn't want other people to suffer like he's been suffering," said Frank Mathie, a former colleague of Drury. "He wants to find a cure."
All catalog sales at the auction, which is expected to raise $300,000 to $350,000, will go to the foundation, said a spokeswoman for the Leslie Hindman Auctioneers.
Of Drury's valuable collection, one of the Erector Sets he bought in memory of his brother who died in World War II, will remain with Drury.