I would look into if there is some similar audio based course in your native language that targets English.
My experience learning Spanish and French in classroom settings was that once most people see a word written, they fall back into a way of pronunciation that leans toward their native language and causes an accent. Audio only courses can help break that pattern.
The Pimsleur method should also help your use of “a” and “the” feel more natural which is going to help with your rhythm when speaking. Even as a native speaker, if I drop “a” and “the” I’m going to sound strange.