Is there any way to extend my H-1B beyond the 6 year limit?

A: Yes. Extensions may be obtained beyond the 6 year limit if a labor certification, an I-140, or employment-based adjustment application was filed at least 365 days prior to the expiration of the applicants current H-1B. If so, the H-1B status shall then be extended in one-year increments. Three year extensions beyond the sixth year are available if a person has an approved I-140 (one of the employment based green card steps) and the beneficiaries of such a first-, second-, or third-preference employment-based petition is unable to complete the green card process due to per country visa limitations.