diff --git a/sound/soc/soc-pcm.c b/sound/soc/soc-pcm.c
index 1347584d64dfc69aa176f8fe50a043683274d66f..1aee9fcdf650ade07e17f537ea7861e78e3c1cd5 100644
--- a/sound/soc/soc-pcm.c
+++ b/sound/soc/soc-pcm.c
@@ -288,6 +288,9 @@ static int soc_pcm_close(struct snd_pcm_substream *substream)
 	codec_dai->active--;
 	codec->active--;
 
+	if (!cpu_dai->active && !codec_dai->active)
+		rtd->rate = 0;
+
 	/* Muting the DAC suppresses artifacts caused during digital
 	 * shutdown, for example from stopping clocks.
 	 */