No, your IP will notify your creditors when that last payment has been received and everything has been processed. It is important to remember however that even though your IVA has finished it will remain on your credit file for six years from the date it was approved.
You should also check the public insolvency register, to see if you have been removed from there too. It can take up to 3 months after completion for your IVA listing to be removed so just keep an eye on this and query if it has been longer than this. To notify the Insolvency Service that your listing is out of date, simply click ‘report an error’ at the bottom of the page detailing your case, then explain what is wrong. Your Supervisor will inform the Insolvency Service once your IVA has been completed however so you shouldn’t have to do anything with regards to getting it removed from the register.