Add tomatoes, chicken broth, oregano, basil, sugar, salt and pepper to the pot. Bring the mixture to a boil. Cover the pot and turn the heat down to medium low.
Add the heavy cream and stir for about a minute, then turn off the heat on the stove.
Use an immersion blender (stick blender) to blend the soup until smooth.
You can also transfer the soup to a regular blender, but let it cool for at least 5-10 minutes first and blend in small batches.