diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index 397c565..86e9f1e 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -5253,6 +5253,120 @@
             -c "found fragmented DTLS handshake message" \
             -C "error"
 
+# here and below we just want to test that the we fragment in a way that
+# pleases other implementations, so we don't need the peer to fragment
+requires_config_enabled MBEDTLS_SSL_PROTO_DTLS
+requires_config_enabled MBEDTLS_RSA_C
+requires_config_enabled MBEDTLS_ECDSA_C
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_2
+run_test    "DTLS fragmenting: gnutls server, DTLS 1.2" \
+            "$G_SRV -u" \
+            "$P_CLI dtls=1 debug_level=2 \
+             crt_file=data_files/server8_int-ca2.crt \
+             key_file=data_files/server8.key \
+             mtu=512 force_version=dtls1_2" \
+            0 \
+            -c "fragmenting handshake message" \
+            -C "error"
+
+requires_config_enabled MBEDTLS_SSL_PROTO_DTLS
+requires_config_enabled MBEDTLS_RSA_C
+requires_config_enabled MBEDTLS_ECDSA_C
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_1
+run_test    "DTLS fragmenting: gnutls server, DTLS 1.0" \
+            "$G_SRV -u" \
+            "$P_CLI dtls=1 debug_level=2 \
+             crt_file=data_files/server8_int-ca2.crt \
+             key_file=data_files/server8.key \
+             mtu=512 force_version=dtls1_2" \
+            0 \
+            -c "fragmenting handshake message" \
+            -C "error"
+
+# gnutls-cli always tries IPv6 first, and doesn't fall back to IPv4 with DTLS
+requires_ipv6
+requires_config_enabled MBEDTLS_SSL_PROTO_DTLS
+requires_config_enabled MBEDTLS_RSA_C
+requires_config_enabled MBEDTLS_ECDSA_C
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_2
+run_test    "DTLS fragmenting: gnutls client, DTLS 1.2" \
+            "$P_SRV dtls=1 debug_level=2 server_addr=::1 \
+             crt_file=data_files/server7_int-ca.crt \
+             key_file=data_files/server7.key \
+             mtu=512 force_version=dtls1_2" \
+            "$G_CLI -u" \
+            0 \
+            -s "fragmenting handshake message"
+
+# gnutls-cli always tries IPv6 first, and doesn't fall back to IPv4 with DTLS
+requires_ipv6
+requires_config_enabled MBEDTLS_SSL_PROTO_DTLS
+requires_config_enabled MBEDTLS_RSA_C
+requires_config_enabled MBEDTLS_ECDSA_C
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_1
+run_test    "DTLS fragmenting: gnutls client, DTLS 1.0" \
+            "$P_SRV dtls=1 debug_level=2 server_addr=::1 \
+             crt_file=data_files/server7_int-ca.crt \
+             key_file=data_files/server7.key \
+             mtu=512 force_version=dtls1" \
+            "$G_CLI -u" \
+            0 \
+            -s "fragmenting handshake message"
+
+requires_config_enabled MBEDTLS_SSL_PROTO_DTLS
+requires_config_enabled MBEDTLS_RSA_C
+requires_config_enabled MBEDTLS_ECDSA_C
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_2
+run_test    "DTLS fragmenting: openssl server, DTLS 1.2" \
+            "$O_SRV -dtls1_2 -verify 10" \
+            "$P_CLI dtls=1 debug_level=2 \
+             crt_file=data_files/server8_int-ca2.crt \
+             key_file=data_files/server8.key \
+             mtu=512 force_version=dtls1_2" \
+            0 \
+            -c "fragmenting handshake message" \
+            -C "error"
+
+requires_config_enabled MBEDTLS_SSL_PROTO_DTLS
+requires_config_enabled MBEDTLS_RSA_C
+requires_config_enabled MBEDTLS_ECDSA_C
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_1
+run_test    "DTLS fragmenting: openssl server, DTLS 1.0" \
+            "$O_SRV -dtls1 -verify 10" \
+            "$P_CLI dtls=1 debug_level=2 \
+             crt_file=data_files/server8_int-ca2.crt \
+             key_file=data_files/server8.key \
+             mtu=512 force_version=dtls1" \
+            0 \
+            -c "fragmenting handshake message" \
+            -C "error"
+
+requires_config_enabled MBEDTLS_SSL_PROTO_DTLS
+requires_config_enabled MBEDTLS_RSA_C
+requires_config_enabled MBEDTLS_ECDSA_C
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_2
+run_test    "DTLS fragmenting: openssl client, DTLS 1.2" \
+            "$P_SRV dtls=1 debug_level=2 \
+             crt_file=data_files/server7_int-ca.crt \
+             key_file=data_files/server7.key \
+             mtu=512 force_version=dtls1_2" \
+            "$O_CLI -dtls1_2" \
+            0 \
+            -s "fragmenting handshake message"
+
+requires_config_enabled MBEDTLS_SSL_PROTO_DTLS
+requires_config_enabled MBEDTLS_RSA_C
+requires_config_enabled MBEDTLS_ECDSA_C
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_1
+run_test    "DTLS fragmenting: openssl client, DTLS 1.0" \
+            "$P_SRV dtls=1 debug_level=2 \
+             crt_file=data_files/server7_int-ca.crt \
+             key_file=data_files/server7.key \
+             mtu=512 force_version=dtls1" \
+            "$O_CLI -dtls1" \
+            0 \
+            -s "fragmenting handshake message"
+
 # Tests for specific things with "unreliable" UDP connection
 
 not_with_valgrind # spurious resend due to timeout