In a large pot over medium-high heat, cook the sausage meat in 1 tbsp (15 ml) of the oil, coarsely breaking it up with a wooden spoon, until it starts to brown, about 5 minutes. Add the tomato paste and cook for 1 minute while stirring. Pour in the broth. Bring to a boil. Add the orzo and cook for 10 minutes, stirring occasionally.