Recording Silences

[uniteegolf]

I'm recording from vinyl to create Wav/MP3 files, but am encountering a problem when it comes to silent passages, particularly at the end of the track. As the volume decreases and enters the 'fade-out', it starts to sound 'clipped'? So as if when it hits a silent section, it stops recording and then when some sound is detected it records, making the playback sound 'jerky'. Any advice greatly appreciated.