  We present a simple approach for obtaining Kerr interior solutions with the
help of the Newman-Janis algorithm (NJA) starting with static space-times
describing physically sensible interior Schwarzschild solutions. In this
context, the Darmois-Israel (DI) junction conditions are analyzed. Starting
from the incompressible Schwarzschild solution, a class of Kerr interior
solutions is presented, together with a discussion of the slowly rotating
limit. The energy conditions are discussed for the solutions so obtained.
Finally, the NJA algorithm is applied to the static, anisotropic, conformally
flat solutions found by Stewart leading to interior Kerr solutions with oblate
spheroidal boundary surfaces.
