It is impossible to mine LTC with that ASIC
You need to make a new ASIC, make the project, invest some millions $ to start making the chip and then you can mine LTC with your new ASIC.
It was supposed to be impossible to mine it on a GPU, look how that turned out they are hashing away right now..
So LTC was the one design for CPU-mining only? Since they both use SHA-256, it won't be a surprise a LTC ASIC maker will be able to reuse most of the BTC ASIC design. In order to be truly effective, it has to make the hashing algorithm prohibitively complex for ASIC.