You could try to fit the lead sleeve to the pipes that are in place. We did this in the old days when DWV was all hub and spigot, lead bends, and oakum/poured lead joints. It was (and remains) labor intensive to do it this way. Why bother? Today we have no-hub fittings of various types (including Fernco), various pipe options (including plastic). I’m sure you will be able to figure out an easy way to use these new materials and fittings to create a connection that functions every bit as well as the older lead based connections, and is much easier to do.