diff --git a/fuzz/client.cc b/fuzz/client.cc
index 75e518e..c491893 100644
--- a/fuzz/client.cc
+++ b/fuzz/client.cc
@@ -24,9 +24,18 @@
   BIO *out = BIO_new(BIO_s_mem());
   SSL_set_bio(client, in, out);
   SSL_set_connect_state(client);
+  SSL_set_renegotiate_mode(client, ssl_renegotiate_freely);
 
   BIO_write(in, buf, len);
-  SSL_do_handshake(client);
+  if (SSL_do_handshake(client) == 1) {
+    // Keep reading application data until error or EOF.
+    uint8_t tmp[1024];
+    for (;;) {
+      if (SSL_read(client, tmp, sizeof(tmp)) <= 0) {
+        break;
+      }
+    }
+  }
   SSL_free(client);
 
   return 0;
diff --git a/fuzz/server.cc b/fuzz/server.cc
index c37cae7..1904e4f 100644
--- a/fuzz/server.cc
+++ b/fuzz/server.cc
@@ -215,7 +215,15 @@
   SSL_set_accept_state(server);
 
   BIO_write(in, buf, len);
-  SSL_do_handshake(server);
+  if (SSL_do_handshake(server) == 1) {
+    // Keep reading application data until error or EOF.
+    uint8_t tmp[1024];
+    for (;;) {
+      if (SSL_read(server, tmp, sizeof(tmp)) <= 0) {
+        break;
+      }
+    }
+  }
   SSL_free(server);
 
   return 0;