Omega and self-fulfilling prophecies

Omega appears to you in a puff of logic, and presents you with a closed box. “If you open this box you will find either nothing or a million dollars,” Omega tells you, “and the contents will be yours to keep.” “Great,” you say, taking the box, “sounds like I can’t lose!” “Not so fast,” says Omega, “to get that possible million dollars you have to be in the right frame of mind. If you are at least 99% confident that there’s a million dollars in the box, there will be. If you’re less confident than that, it will be empty. I’m not predicting the state of your mind in advance this time, I’m reading it directly and teleporting the money in only if you have enough faith that it will be there. Take as long as you like.”

Assume you believe Omega. Can you believe the million dollars will be there, strongly enough that it will be?