diff --git a/libavformat/rtmppkt.c b/libavformat/rtmppkt.c
index 0982775135..378328de06 100644
--- a/libavformat/rtmppkt.c
+++ b/libavformat/rtmppkt.c
@@ -140,16 +140,17 @@ int ff_rtmp_packet_read(URLContext *h, RTMPPacket *p,
     return ff_rtmp_packet_read_internal(h, p, chunk_size, prev_pkt, hdr);
 }
 
-int ff_rtmp_packet_read_internal(URLContext *h, RTMPPacket *p, int chunk_size,
-                                 RTMPPacket *prev_pkt, uint8_t hdr)
+static int rtmp_packet_read_one_chunk(URLContext *h, RTMPPacket *p,
+                                      int chunk_size, RTMPPacket *prev_pkt,
+                                      uint8_t hdr)
 {
 
-    uint8_t t, buf[16];
-    int channel_id, timestamp, size, offset = 0;
+    uint8_t buf[16];
+    int channel_id, timestamp, size;
     uint32_t extra = 0;
     enum RTMPPacketType type;
     int written = 0;
-    int ret;
+    int ret, toread;
 
     written++;
     channel_id = hdr & 0x3F;
@@ -198,37 +199,69 @@ int ff_rtmp_packet_read_internal(URLContext *h, RTMPPacket *p, int chunk_size,
     if (hdr != RTMP_PS_TWELVEBYTES)
         timestamp += prev_pkt[channel_id].timestamp;
 
-    if ((ret = ff_rtmp_packet_create(p, channel_id, type, timestamp,
-                                     size)) < 0)
-        return ret;
+    if (!prev_pkt[channel_id].read) {
+        if ((ret = ff_rtmp_packet_create(p, channel_id, type, timestamp,
+                                         size)) < 0)
+            return ret;
+        p->read = written;
+        p->offset = 0;
+        prev_pkt[channel_id].ts_delta   = timestamp -
+                                          prev_pkt[channel_id].timestamp;
+        prev_pkt[channel_id].timestamp  = timestamp;
+    } else {
+        // previous packet in this channel hasn't completed reading
+        RTMPPacket *prev = &prev_pkt[channel_id];
+        p->data          = prev->data;
+        p->size          = prev->size;
+        p->channel_id    = prev->channel_id;
+        p->type          = prev->type;
+        p->ts_delta      = prev->ts_delta;
+        p->extra         = prev->extra;
+        p->offset        = prev->offset;
+        p->read          = prev->read + written;
+        p->timestamp     = prev->timestamp;
+        prev->data       = NULL;
+    }
     p->extra = extra;
     // save history
     prev_pkt[channel_id].channel_id = channel_id;
     prev_pkt[channel_id].type       = type;
     prev_pkt[channel_id].size       = size;
-    prev_pkt[channel_id].ts_delta   = timestamp - prev_pkt[channel_id].timestamp;
-    prev_pkt[channel_id].timestamp  = timestamp;
     prev_pkt[channel_id].extra      = extra;
-    while (size > 0) {
-        int toread = FFMIN(size, chunk_size);
-        if (ffurl_read_complete(h, p->data + offset, toread) != toread) {
-            ff_rtmp_packet_destroy(p);
-            return AVERROR(EIO);
-        }
-        size    -= chunk_size;
-        offset  += chunk_size;
-        written += chunk_size;
-        if (size > 0) {
-            if ((ret = ffurl_read_complete(h, &t, 1)) < 0) { // marker
-                ff_rtmp_packet_destroy(p);
-                return ret;
-            }
-            written++;
-            if (t != (0xC0 + channel_id))
-                return -1;
-        }
+    size = size - p->offset;
+
+    toread = FFMIN(size, chunk_size);
+    if (ffurl_read_complete(h, p->data + p->offset, toread) != toread) {
+        ff_rtmp_packet_destroy(p);
+        return AVERROR(EIO);
+    }
+    size      -= toread;
+    p->read   += toread;
+    p->offset += toread;
+
+    if (size > 0) {
+       RTMPPacket *prev = &prev_pkt[channel_id];
+       prev->data = p->data;
+       prev->read = p->read;
+       prev->offset = p->offset;
+       return AVERROR(EAGAIN);
+    }
+
+    prev_pkt[channel_id].read = 0; // read complete; reset if needed
+    return p->read;
+}
+
+int ff_rtmp_packet_read_internal(URLContext *h, RTMPPacket *p, int chunk_size,
+                                 RTMPPacket *prev_pkt, uint8_t hdr)
+{
+    while (1) {
+        int ret = rtmp_packet_read_one_chunk(h, p, chunk_size, prev_pkt, hdr);
+        if (ret > 0 || ret != AVERROR(EAGAIN))
+            return ret;
+
+        if (ffurl_read(h, &hdr, 1) != 1)
+            return AVERROR(EIO);
     }
-    return written;
 }
 
 int ff_rtmp_packet_write(URLContext *h, RTMPPacket *pkt,
diff --git a/libavformat/rtmppkt.h b/libavformat/rtmppkt.h
index 96ca1b68e8..e9c7ea7e65 100644
--- a/libavformat/rtmppkt.h
+++ b/libavformat/rtmppkt.h
@@ -82,6 +82,8 @@ typedef struct RTMPPacket {
     uint32_t       extra;      ///< probably an additional channel ID used during streaming data
     uint8_t        *data;      ///< packet payload
     int            size;       ///< packet payload size
+    int            offset;     ///< amount of data read so far
+    int            read;       ///< amount read, including headers
 } RTMPPacket;
 
 /**
diff --git a/libavformat/rtmpproto.c b/libavformat/rtmpproto.c
index edc433fd2a..e8aecfef67 100644
--- a/libavformat/rtmpproto.c
+++ b/libavformat/rtmpproto.c
@@ -2306,7 +2306,7 @@ static int get_packet(URLContext *s, int for_header)
 static int rtmp_close(URLContext *h)
 {
     RTMPContext *rt = h->priv_data;
-    int ret = 0;
+    int ret = 0, i, j;
 
     if (!rt->is_input) {
         rt->flv_data = NULL;
@@ -2317,6 +2317,9 @@ static int rtmp_close(URLContext *h)
     }
     if (rt->state > STATE_HANDSHAKED)
         ret = gen_delete_stream(h, rt);
+    for (i = 0; i < 2; i++)
+        for (j = 0; j < RTMP_CHANNELS; j++)
+            ff_rtmp_packet_destroy(&rt->prev_pkt[i][j]);
 
     free_tracked_methods(rt);
     av_freep(&rt->flv_data);