Current L1B - cruise to Bahamas/Caribbean islands

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Hello,

I need some help/advise with my situation. My family and I have a current L1B/L2 visas and valid i94's upto 2014. I have an approved 2014 H1B and H4 petition (for dependents), which is valid from Oct 2013.

I am planning to go for a cruise trip this June/July to Bahamas or the Caribbean. Since I have an approved H1B petition, would it be a problem for me to come back to the US with my L1 visa? What happens to my current i94?

Please provide some insight on this situation.

Regards.
 
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