The quote from immihelp does not make any sense
This statement conflicts itself. On the one hand, it says the alien can still work; on the other hand, it says work is unauthorized. A non-immigrant needs work authorization to work legally in the US. If you don\'t have H1B or EAD, it\'s unauthorized work. Wait for your EAD or have your employer file an new H1B. As long as you file your H1B, you can still legal work for the same company!