If English is your L2 then I am pretty sure you are dreaming of speaks fluently like a native. It wasn't secret anymore if people which English is their L2 speak in their unique accent and most of them trying hard to reduce their unique accent. To learn more about how to speak like native you may click here and for the addition you can read here.
References:
http://www.rachelsenglish.com/videos/sound-native-speaker
http://www.wikihow.com/Speak-a-Language-With-the-Native-Accent
References:
http://www.rachelsenglish.com/videos/sound-native-speaker
http://www.wikihow.com/Speak-a-Language-With-the-Native-Accent
