You can work while getting your marriage green card only if you request work authorization using Form I-765, which may be filed concurrently when you apply for permanent residency. Applicants who already have USCIS approved work authorization incident to their valid immigration status may continue their employment throughout the marriage green card process. Many immigration statuses may continue to run concurrently and remain valid during the marriage-based adjustment of status process but conflicts may arise in some cases. It’s best to speak with an immigration attorney if you are trying to maintain work authorization in order to avoid any gaps in employment.