Status change from Student to Open work permit - Do we need to update this info

[KUTTTY]

Dear PMM,


I have filed for immigration in Nov 2009 . They moved my application to Newyork office in july 2010. The status changed to in process in Oct 2010. The status shows in Process. I have completed my studies in Sep 2010 and i got my open work permit.
Do i need update immigration office about the status change?

Thank You,