By simply filing a Form I-539 Change of Status (COS) application. Read the instructions for the documentary evidence you must include.
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.
You have to proofread your question. It is very hard to follow with numbered visas and Junette for month. You need to seek change of status to L2 is the 1 of your husband is L1 or H4 is his 1 is H1B. Hire a lawyer and save yourself a lot of hassle.
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If your spouse is here on an L-1A, you are eligible to change status to L-2 but my strong recommendation is to contact a lawyer for immigration planning since there may be factors that could affect this advice - such as what your long-term immigration goals would be and how to best achieve those (extending your own L-1A or changing to L-2). It also depends on your husband's situation.