Can i collect unemployment benefits while waiting for my long term disability benefits to be approved.

I am going to be terminated on 20th June due to my inability to return to work as I am disabled due to my back surgery. My employer is using the 6 month max. absence of leave from work provision from the employee handbook to get rid of me. I have already used 11 weeks of short term disability benefits and now applied for the long term disability benefits, so i was thinking that if i am being terminated or laid off and waiting for the long term disability benefits to get approved, can I apply for the unemployment benefits too!! Finally if in future I use all of my long term disability benefits can I still apply for the unemployment benefits I guess what i am trying to ask is about any kind of time frame restrictions on the filing of unemployment benefits Thank you very much!!