My DD hated tummy time too and I was told that reflux babies frequently do hate it. With her reflux she spent a lot of time on me, including sleeping on her tummy on my chest, with me almost lying down at the end (cos Mummies need sleep too!). I worried about it too but my MCHN said that sleeping and lying on me is tummy time in itself - tummy time doesn't have to be flat on his tummy on a mat on the floor. She's now 6.5 months and I can't get her off her tummy - she refuses to sleep in her cot any other way.