Sleeping

We have a bassinet Lillian sleeps in beside.our bed until we feel she is old enought to go in her crib. She was.so fussy last night and couldn't get comfortable so I put her in her rock and play to see how she did. I have had to wake her up for every feeding and change and as soon as she is done and I put her back in it she is out like a light. Is this ok and does anyone else have this problem?