Remove the sausage from its casing and break it into small chunks with your fingers or a fork. Set a skillet over medium heat and cook the sausage until deeply browned and slightly crispy, about 8-10 minutes, stirring occasionally. This enhances the smoky flavor and prevents greasiness.
While the sausage cooks, peel and thinly slice the carrots, and finely chop the onion. Mince the garlic cloves, releasing a pungent aroma as you chop.
Transfer the browned sausage to the crockpot using a slotted spoon, leaving behind excess fat for extra flavor. Add the sliced carrots, chopped onions, minced garlic, canned diced tomatoes, and broth. Stir everything together to combine the ingredients evenly.
Cover the crockpot and cook on low for 6-8 hours, or on high for 3-4 hours. During this time, the vegetables soften and the flavors meld into a smoky, fragrant broth.
About 30 minutes before serving, open the lid and taste the soup, adjusting the seasoning with salt, pepper, or a dash of smoked paprika if desired. If you like greens, toss in a handful of spinach or kale and stir until wilted.
Once the cooking time is complete, give the soup a gentle stir. If it’s too thick, splash in a bit more broth or water and stir well. If it’s too thin, uncover and cook on high for another 15 minutes to reduce slightly.
Use a ladle to serve the hot, smoky sausage soup into bowls. Garnish with fresh herbs or grated cheese if you like. The broth should be rich and fragrant with tender sausage and soft vegetables ready to enjoy.