sleeping in bed/on the bed

[sitifan]

1. He is sleeping in bed.

2. He is sleeping on the bed.
#1 is correct. Is #2 possible?

[2006]

1. He is sleeping in bed. he is under the bed sheet(s)/blanket(s)/quilt.

2. He is sleeping on the bed. he is not under the bed coverings; he is on top of everything. Therefore, he is on the bed, not "in bed".
is #2 possible? yes, as above

2006

[Daruma]

She lay on the bed (= on top of the covers). He lay in bed (= under the covers).