The fight will take place on April 20 in either New York or Las Vegas.
Khan said: “Fighting a World Champion won’t be easy but this is exactly the challenge I need at this stage of my career.
“I am fully motivated and ready for the best training camp of my life. Crawford is beatable and I want that WBO title. It’s going to be one hell of a fight.
“A huge thank you to Geoff Cunningham and the Walker Morris Sports Group for their hard work and helping make this fight happen.”