Do You have the same problem?

Yes, I experienced that with both kids, but I didn't consider it a problem. That's perfectly normal behavior for a newborn. We held my daughter for the first 8 weeks of her life, at which time we brought her into our bed. With our son, we co-slept with him from day 1. I nursed both of them and let them pacify when needed. I felt that was my responsibility as their mom and I haven't experienced any "issues" with doing that.