In a large pot, heat the sesame oil over medium heat.
Add the garlic and ginger and cook, stirring often, until fragrant, about 3 minutes.
Add the chicken stock, soy sauce, green onions, and carrots to the pot and bring to a boil over high heat.
Reduce the heat to medium-low and cook, stirring occasionally, for 5 minutes, or until the carrots are tender.
Add the dumplings and bring back to a boil over high heat.
Cook, stirring until the dumplings are cooked through, about 4 more minutes.
Remove from heat and stir in spinach, until wilted, about 4 minutes.
Season with salt to taste.
Divide the soup into bowls. Serve warm, topped with additional green onion and sesame seeds if using.
