diff --git a/avconv.c b/avconv.c
index 778de654cb..a05894f915 100644
--- a/avconv.c
+++ b/avconv.c
@@ -1242,6 +1242,34 @@ static int ifilter_send_frame(InputFilter *ifilter, AVFrame *frame)
     return 0;
 }
 
+static int ifilter_send_eof(InputFilter *ifilter)
+{
+    int i, j, ret;
+
+    ifilter->eof = 1;
+
+    if (ifilter->filter) {
+        ret = av_buffersrc_add_frame(ifilter->filter, NULL);
+        if (ret < 0)
+            return ret;
+    } else {
+        // the filtergraph was never configured
+        FilterGraph *fg = ifilter->graph;
+        for (i = 0; i < fg->nb_inputs; i++)
+            if (!fg->inputs[i]->eof)
+                break;
+        if (i == fg->nb_inputs) {
+            // All the input streams have finished without the filtergraph
+            // ever being configured.
+            // Mark the output streams as finished.
+            for (j = 0; j < fg->nb_outputs; j++)
+                finish_output_stream(fg->outputs[j]->ost);
+        }
+    }
+
+    return 0;
+}
+
 // This does not quite work like avcodec_decode_audio4/avcodec_decode_video2.
 // There is the following difference: if you got a frame, you must call
 // it again with pkt=NULL. pkt==NULL is treated differently from pkt.size==0
@@ -1415,18 +1443,11 @@ static int transcode_subtitles(InputStream *ist, AVPacket *pkt, int *got_output)
 
 static int send_filter_eof(InputStream *ist)
 {
-    int i, j, ret;
+    int i, ret;
     for (i = 0; i < ist->nb_filters; i++) {
-        if (ist->filters[i]->filter) {
-            ret = av_buffersrc_add_frame(ist->filters[i]->filter, NULL);
-            if (ret < 0)
-                return ret;
-        } else {
-            // the filtergraph was never configured
-            FilterGraph *fg = ist->filters[i]->graph;
-            for (j = 0; j < fg->nb_outputs; j++)
-                finish_output_stream(fg->outputs[j]->ost);
-        }
+        ret = ifilter_send_eof(ist->filters[i]);
+        if (ret < 0)
+            return ret;
     }
     return 0;
 }
diff --git a/avconv.h b/avconv.h
index 5d365a00ee..cffe11473f 100644
--- a/avconv.h
+++ b/avconv.h
@@ -212,6 +212,8 @@ typedef struct InputFilter {
     uint64_t channel_layout;
 
     AVBufferRef *hw_frames_ctx;
+
+    int eof;
 } InputFilter;
 
 typedef struct OutputFilter {
diff --git a/avconv_filter.c b/avconv_filter.c
index 1acbd88166..96277f80eb 100644
--- a/avconv_filter.c
+++ b/avconv_filter.c
@@ -780,6 +780,15 @@ int configure_filtergraph(FilterGraph *fg)
         }
     }
 
+    /* send the EOFs for the finished inputs */
+    for (i = 0; i < fg->nb_inputs; i++) {
+        if (fg->inputs[i]->eof) {
+            ret = av_buffersrc_add_frame(fg->inputs[i]->filter, NULL);
+            if (ret < 0)
+                return ret;
+        }
+    }
+
     return 0;
 }