Thanks for answering my question, Capriotti. You mean going out of the country is a problem, right?
Perhaps your question isn't clear and thus we are not addressing your 'true' question.
If you are in the US and propose applying for an EXTENSION of your I-94 (not your visa stamp) ... then you can file at the last minute and will be allowed to continue working.
But, you do not want to leave the US while it is pending.
If you are out of the US and are considering making an application at the US Consul just before the L-1 petition expires, that will be a problem.
In either case, you should be asking these questions of the company's immigration lawyer and not an internet blog.
The 'true' question was as I stated and it was answered. It was not clear when you said, 'this will be a problem'. So, I wanted to clarify whether you meant going out of the country.
Now, I have a clear answer to my question.
Good ... I hope the answer you obtained from this thread is to talk to the company's immigration lawyer.
I am already working with my immigration team. As I wanted to cross verify, I turned to avvo.com.
If you already have a lawyer (which you didn't tell us when asking your question) there is no need to cross-verify on an internet blog. Sit down in-person (or via Skype) with the immigration lawyer ... not a para-legal ... not an HR person.
1. I said "immigration team", not a lawyer.
2. I could not mention that I was working with my immigration team, because the number of characters in the question box is limited.
3. I don't think it is wrong to post a question to cross-verify. I tried to find it in the US Immigration site, but could not. We trust our immigration team alright. But, if things go wrong, the individual is the most affected; not the immigration team.
I know you said team ... that is why I suggested you talk directly to the most important member of the team .... the lead lawyer ... not HR, nor other clerical people.
No, it isn't wrong to cross-verify. Except ... your lawyer knows many more of the facts than those you stated in your question.
Thus, the famous line "if you ask the wrong question, you will get the wrong answer" is very appropriate to consider.
Good luck to you.