What year LS1 do you have? The 98's have a metal tank and use an LT1 style fuel bucket/pickup. The 99+ have a plastic tank and use a venturi style fuel bucket. You can't use a generic fuel pump on a 99+ plastic tank car. It has to have the small brass nipple.
If you run a generic pump in a plastic tank you'll have to drill holes in the bucket and might have low fuel starvation issues.