She loves my chest

My LO is 4wks old and REFUSES to sleep anywhere except my chest or right by it. He favorite position is on her tummy while laying on my chest. I haven't slept in a bed since the day before having her (unless you count the hospital bed)...we've been sleeping on the recliner in the living room. I've tried, several times, placing her in her crib and the co-sleeper I have up against the couch...but she just won't have it. Anyone else having the same problem?! I really want to get her sleeping on her own cuz I'm scared to death of SIDS and won't be able to live with myself if anything happens to her.