diff --git a/subprojects/gst-plugins-good/ext/adaptivedemux2/gstadaptivedemux.c b/subprojects/gst-plugins-good/ext/adaptivedemux2/gstadaptivedemux.c
index 8925454264..9d4186fca5 100644
--- a/subprojects/gst-plugins-good/ext/adaptivedemux2/gstadaptivedemux.c
+++ b/subprojects/gst-plugins-good/ext/adaptivedemux2/gstadaptivedemux.c
@@ -1316,8 +1316,8 @@ gst_adaptive_demux_start_new_period (GstAdaptiveDemux * demux)
   }
 
   if (demux->input_period) {
-    GST_DEBUG_OBJECT (demux, "Closing previous period");
-    demux->input_period->closed = TRUE;
+    GST_DEBUG_OBJECT (demux, "Marking that previous period has a next one");
+    demux->input_period->has_next_period = TRUE;
   }
   GST_DEBUG_OBJECT (demux, "Setting up new period");
 
@@ -3605,7 +3605,7 @@ restart:
     goto restart;
 
   if (global_output_position == GST_CLOCK_STIME_NONE
-      && demux->output_period->closed) {
+      && demux->output_period->has_next_period) {
     GST_DEBUG_OBJECT (demux, "Period %d is drained, switching to next period",
         demux->output_period->period_num);
     if (!gst_adaptive_demux_advance_output_period (demux)) {
diff --git a/subprojects/gst-plugins-good/ext/adaptivedemux2/gstadaptivedemux.h b/subprojects/gst-plugins-good/ext/adaptivedemux2/gstadaptivedemux.h
index 498b983ca7..c0b6a1b762 100644
--- a/subprojects/gst-plugins-good/ext/adaptivedemux2/gstadaptivedemux.h
+++ b/subprojects/gst-plugins-good/ext/adaptivedemux2/gstadaptivedemux.h
@@ -375,8 +375,8 @@ struct _GstAdaptiveDemuxPeriod
   gboolean prepared;
 
 
-  /* TRUE if the period no longer receives any data (i.e. it is closed) */
-  gboolean closed;
+  /* TRUE if there is another period after this one */
+  gboolean has_next_period;
   
   /* An increasing unique identifier for the period.
    *