It is; I think a lot of people go for stream of consciousness speaking because they're afraid if they pause someone else will take over the conversation. But the reality is that people's attention span just drops down after a sentence or two, especially if it's stream of consciousness - they have to spend more and more energy to follow your thoughts. Which is absolutely fine in some situations, but it's not the most efficient.
Your message comes across a lot more clearly if you get your thoughts in order before starting to speak. This is difficult at first, because if you're not practiced the conversation will have moved on before you've got your thoughts in line, but it is a skill you can practice. Take one of your stream of consciousness statements, maybe write it down, and repeat it a dozen times, each time making it shorter and more to the point - assertive, definitive, without feeling like you have to expand on your every point. Assume that if something is unclear, the other party will ask. But also try and limit the amount of concepts in one sentence so you don't overwhelm the other party with new stuff. (assuming you're talking technology or something of course).
Your message comes across a lot more clearly if you get your thoughts in order before starting to speak. This is difficult at first, because if you're not practiced the conversation will have moved on before you've got your thoughts in line, but it is a skill you can practice. Take one of your stream of consciousness statements, maybe write it down, and repeat it a dozen times, each time making it shorter and more to the point - assertive, definitive, without feeling like you have to expand on your every point. Assume that if something is unclear, the other party will ask. But also try and limit the amount of concepts in one sentence so you don't overwhelm the other party with new stuff. (assuming you're talking technology or something of course).