No, you do not need to amend your return at this time.
Take a look at the following TurboTax article and statement from the IRS for details, but there is no step you need to take yet with regard to the changes that affect unemployment. There will be guidance issued soon by the IRS and TurboTax with regard to steps you may need to take if you have already filed your return or if you have not yet filed.
How will the third stimulus impact me?
IRS Statement - American Rescue Plan Act of 2021