diff --git a/ssl/d1_both.c b/ssl/d1_both.c
index c5beea8824612c4d512da68f07a0146e0892c269..4d8d2d15bacabf1daf4d4b508e6f0ca50c69f6fb 100644
--- a/ssl/d1_both.c
+++ b/ssl/d1_both.c
@@ -616,6 +616,9 @@ dtls1_reassemble_fragment(SSL *s, struct hm_header_st* msg_hdr, int *ok)
 	    msg_hdr->msg_len > dtls1_max_handshake_message_len(s))
 		goto err;
 
+	if (frag_len == 0)
+		return DTLS1_HM_FRAGMENT_RETRY;
+
 	/* Try to find item in queue */
 	memset(seq64be,0,sizeof(seq64be));
 	seq64be[6] = (unsigned char) (msg_hdr->seq>>8);
@@ -693,7 +696,12 @@ dtls1_reassemble_fragment(SSL *s, struct hm_header_st* msg_hdr, int *ok)
 			goto err;
 			}
 
-		pqueue_insert(s->d1->buffered_messages, item);
+		item = pqueue_insert(s->d1->buffered_messages, item);
+		/* pqueue_insert fails iff a duplicate item is inserted.
+		 * However, |item| cannot be a duplicate. If it were,
+		 * |pqueue_find|, above, would have returned it and control
+		 * would never have reached this branch. */
+		OPENSSL_assert(item != NULL);
 		}
 
 	return DTLS1_HM_FRAGMENT_RETRY;
@@ -751,7 +759,7 @@ dtls1_process_out_of_seq_message(SSL *s, struct hm_header_st* msg_hdr, int *ok)
 		}
 	else
 		{
-		if (frag_len && frag_len < msg_hdr->msg_len)
+		if (frag_len < msg_hdr->msg_len)
 			return dtls1_reassemble_fragment(s, msg_hdr, ok);
 
 		if (frag_len > dtls1_max_handshake_message_len(s))
@@ -780,7 +788,15 @@ dtls1_process_out_of_seq_message(SSL *s, struct hm_header_st* msg_hdr, int *ok)
 		if ( item == NULL)
 			goto err;
 
-		pqueue_insert(s->d1->buffered_messages, item);
+		item = pqueue_insert(s->d1->buffered_messages, item);
+		/* pqueue_insert fails iff a duplicate item is inserted.
+		 * However, |item| cannot be a duplicate. If it were,
+		 * |pqueue_find|, above, would have returned it. Then, either
+		 * |frag_len| != |msg_hdr->msg_len| in which case |item| is set
+		 * to NULL and it will have been processed with
+		 * |dtls1_reassemble_fragment|, above, or the record will have
+		 * been discarded. */
+		OPENSSL_assert(item != NULL);
 		}
 
 	return DTLS1_HM_FRAGMENT_RETRY;