Constant Fellowship with God

Over the past few weeks I have been reading a lot, my Bible, my Study Bible, The Purpose Driven Life and a few others. They all talk about being in constant fellowship with God. Over the past couple of days I was really sick and stayed home from work. Even then it was difficult to be in constant fellowship. You would think that with nothing else to do I still didn't have constant fellowship. I slept a lot and talked with him a lot but there was a lot of "down" time.

Any thoughts on how to have constant relationship?