The problem is that it makes no sense that Jack wouldn't have known before. Not when they're doing overnight missions, which they are from the beginning (the 48-hour recon is from the scene at the end of Enemy Within). I had to choose between coming up with a reason for Teal'c to pretend he slept the way humans do or put in the meditation earlier.
I think we can safely say that Jack forgot the name 'kel-no-reem' as soon as he heard it, and wasn't especially interested in the why-how details until Holiday, however! He likely just filed 'Teal'c meditates instead of sleeping' in the tactical part of his brain and moved on.