Moving out after applying COE for dependent

I applied for the Certificate of Eligibility (COE) for my wife and son as dependents, and I was expecting to receive the documents by post. However, I moved to a new apartment about one month after submitting the application. I have already updated my new address at both the ward office and the post office.

Should I also notify the Immigration Office to update my address for receiving the COE?

by Aggravating-Fee-9059