As the spouse of L1 you get an L2 which lets you work for any employer including yourself as long as the L1 is active. With the L2 you get an EAD on arrival and do not have to wait for months to get it.
A friend of mine moved to US on L1, with his wife. It took them 5 years before the wife got EAD (work permit). It is possible that they fucked the process up, and it can be done faster, just wanted to mention it here.
