L1A Visa along with H1B

[sourav_tech]

Hello,

I have a valid H1B visa till yr of 2017 (first 3 yrs period). Now, can my employer file another L1A visa for me? If its approved, can I have both visa together from the same company? What is the processing timeline for L1A visa? After getting L1A visa, how soon the employer can start my Green Card process?

Please suggest with the details.