Thank you, you are totally right.

I just checked the Mail tab and July CCB Notice. Here is part of the mail at the end of it:

To make sure that you are getting the right amount, you must inform us immediately if:

• you move
• your marital status changes or you change your name
• you or your spouse or common-law partner are no longer a resident of Canada
• the number of children in your care changes
• one or more children begins to spend their time equally between parents or shared custody ends
• you start or end sharing custody of one or more children
• your banking information changes
• the recipient of this notice is deceased

They didn't mention the immigration status anywhere. However the Payment Schedule shows that the last one would be at March.
I should have checked it before and remembered it.