usa – Can I convert the CDC vaccination card issued for COVID into an International Certificate of Vaccination?

As the world prepares to reopen for vaccinated tourism, I’m facing a conundrum in regards to the paperwork required. If you get the COVID vaccine in the US these days, you will be issued with a “Vaccination Record Card” that follows the CDC-mandated format. However international travel generally requires the International Certificate of Vaccination – or at least that’s what the requirements seem to be currently. Specifically, that’s what Iceland wants to see for non-EU/EEA issued vaccinations:

Certificates from the the World Health Organization (WHO) (the International Certificate of Vaccination or the Carte Jaune/Yellow Card) is also accepted for vaccines the WHO has validated.

Is there a way to convert the CDC-issued card into the International one at the moment? Can my doctor do this for example?