Seems the lawyer is just pushing the envelope, for no reason :
Labor Condition Application (LCA)
You must submit a certified Department of Labor (DOL) LCA (Form ETA 9035) at the time of filing your petition. A copy of the LCA is acceptable.
Note: USCIS encourages petitioners to keep DOL LCA processing times in mind when preparing the H-1B petition and plan accordingly. If the LCA certified by DOL is for multiple positions, you must provide the name and USCIS case receipt number of any alien who has previously utilized the LCA.
Petitioners should ensure that they have signed the LCA prior to the LCA being submitted with the petition to USCIS.
Please see Department of Labor’s Office of Foreign Labor Certification website for further information on the LCA process.