Internal Mobility on L-1B

[rm87]

Hello Experts

Apologies if this is a repeat question and it will be great if you route me to the post where i can find the answer.

I am currently working with a bank in NYC on L-1B (I-129S with Blanket Petition). I have consumed 3 years of it. I have got 2 year extension (Expiry March 2019).

My company has offices across the US in various states. Currently I pursuing an internal opportunity in Texas which requires resource like me with my specific specialized skills.

I needed advise, if I-129S amendment can be filed in this case? Are there be any specific factors one needs to be careful about in case of Internal Mobility while on L-1B?

Sincere Regards
rm87