diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index 57155b8..41fbc3d 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -1601,6 +1601,19 @@
             -s "=> renegotiate" \
             -s "write hello request"
 
+run_test    "Renegotiation: DTLS, renego_period overflow" \
+            "$P_SRV debug_level=3 dtls=1 exchanges=4 renegotiation=1 renego_period=18446462598732840962 auth_mode=optional" \
+            "$P_CLI debug_level=3 dtls=1 exchanges=4 renegotiation=1" \
+            0 \
+            -c "client hello, adding renegotiation extension" \
+            -s "received TLS_EMPTY_RENEGOTIATION_INFO" \
+            -s "found renegotiation extension" \
+            -s "server hello, secure renegotiation extension" \
+            -s "record counter limit reached: renegotiate" \
+            -c "=> renegotiate" \
+            -s "=> renegotiate" \
+            -s "write hello request" \
+
 requires_gnutls
 run_test    "Renegotiation: DTLS, gnutls server, client-initiated" \
             "$G_SRV -u --mtu 4096" \