Lawyers for the men and women who filed the suit believe the documents will help expose alleged abuse and coverups.
Dolan, who served as Archbishop in Milwaukee from 2002 to 2009, said Wednesday he welcomes the July 1 disclosure.
His lawyer said Dolan answered questions in February about his decision to publicize the names of priests who were accused of molestation.
An advocacy group, Survivors Network of those Abused by Priests, said it is pleased by news of the disclosure but will continue to question whether Dolan was truthful during his deposition.