diff --git a/sound/soc/soc-pcm.c b/sound/soc/soc-pcm.c
index b5759397afa342a89fe494b51d2d97e2a0d3e346..2879c883eebc2161d0c1ff3fdc14e764cde9ac33 100644
--- a/sound/soc/soc-pcm.c
+++ b/sound/soc/soc-pcm.c
@@ -290,6 +290,9 @@ 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.
 	 */