diff --git a/src/modules/echo-cancel/module-echo-cancel.c b/src/modules/echo-cancel/module-echo-cancel.c
index b810a4eda..64e17bffb 100644
--- a/src/modules/echo-cancel/module-echo-cancel.c
+++ b/src/modules/echo-cancel/module-echo-cancel.c
@@ -1399,7 +1399,7 @@ static pa_bool_t source_output_may_move_to_cb(pa_source_output *o, pa_source *de
     pa_assert_ctl_context();
     pa_assert_se(u = o->userdata);
 
-    if (u->dead)
+    if (u->dead || u->autoloaded)
         return FALSE;
 
     return (u->source != dest) && (u->sink != dest->monitor_of);
@@ -1412,7 +1412,7 @@ static pa_bool_t sink_input_may_move_to_cb(pa_sink_input *i, pa_sink *dest) {
     pa_sink_input_assert_ref(i);
     pa_assert_se(u = i->userdata);
 
-    if (u->dead)
+    if (u->dead || u->autoloaded)
         return FALSE;
 
     return u->sink != dest;
diff --git a/src/modules/module-equalizer-sink.c b/src/modules/module-equalizer-sink.c
index e83a41d54..006b3d1c4 100644
--- a/src/modules/module-equalizer-sink.c
+++ b/src/modules/module-equalizer-sink.c
@@ -1055,6 +1055,9 @@ static pa_bool_t sink_input_may_move_to_cb(pa_sink_input *i, pa_sink *dest) {
     pa_sink_input_assert_ref(i);
     pa_assert_se(u = i->userdata);
 
+    if (u->autoloaded)
+        return FALSE;
+
     return u->sink != dest;
 }