In a 3-quart saucepan, heat the olive oil over medium heat.
Add the onion and garlic and cook until soft and light golden brown, about 8 to 10 minutes.
Add the thyme and carrot and cook 5 minutes more, until the carrot is quite soft.
Add the tomatoes and juice and bring to a boil, stirring often.
Lower the heat and simmer for 30 minutes until as thick as hot cereal.
Season with salt and serve.