Derrick Rose Demanded Used Condoms from Alleged Rape

Demanded Rape Accuser

gave his rape accuser a list of demands prior to her deposition ... including one very odd request -- used condoms from the night she was allegedly gang raped.Derrick Rose

During preparation for a deposition in January ... Rose and his attorneys submitted a request for materials related to the case. They asked the accuser for the usual stuff -- texts, photos and emails. They also asked for "any and all condoms that you retained as evidence from after the alleged rape."

You'll recall the woman claims Rose and 2 of his friends drugged her, then got into her apartment later that night and raped her ... back in August 2013. She's suing for more than $20 million.

It's unclear…