Well, this article doesn't really say much except that Carson has agreed but no time/date has been set:
Ted Cruz Requests Private Meeting With Ben Carson - Breitbart
I just told my husband, "I can just hear Cruz tell Carson that he, Cruz, is one of the anointed ones and if Carson doesn't back off, he won't make it into the ever after. I don't think Carson is going to be the push over that Cruz thinks he might be. Surgeons make a lot of serious decisions and often don't have everyone agreeing with them and they have to be willing to put their reputation on the line not to mention that Carson is a true man of faith.
If I were Carson, I would not meet with Cruz alone. I would encourage no one to meet with Cruz alone, one-on-one. Cruz is a lying snake.