Our baby girl Avril likes to sleep with a "lovey." We don't let her do this in bed, for safety's sake. But, when she's in her swing or her bouncy seat, we will give her a burp cloth, a blanket, a tag book or some other toy since we're watching her. If it's big enough, it always ends up over her face while she snoozes. If it isn't big enough to suit her, she fusses until we give her something that does, then she falls asleep behind it.