New cutless fitment issue?

[Saltyhog]

I'm replacing the cutless bearing on a Bayfield 32. It's a full keeled boat and the cutless bearing is in the tail-piece on the trailing edge of the keel. Prop is in an aperture. The cutless bearing is only about 2" long (I had to cut a new bearing in half) and fits into the tail-piece. There is a shoulder in the tail-piece that determines the cutless bearing length. Bearing is for a 1" shaft and is 1.5" OD. I removed the old cutless bearing and the new bearing is not what I would call an interference fit. It readily slides into position. It's not sloopy loose, but it's not really tight either. There is a set screw to hold it in place in the tail_piece, but I would think the bearing should need to be pressed into place. I was thinking of wrapping the new bearing in some copper foil before installing just to tighten things up. Or am I over thinking this and should I just install it?
-Tom