diff --git a/tests/data_files/Makefile b/tests/data_files/Makefile
index 0962898fe..f3cba5acb 100644
--- a/tests/data_files/Makefile
+++ b/tests/data_files/Makefile
@@ -1131,6 +1131,16 @@ cert_md5.crt: cert_md5.csr
 	$(MBEDTLS_CERT_WRITE) request_file=$< serial=6 issuer_crt=$(test_ca_crt) issuer_key=$(test_ca_key_file_rsa) issuer_pwd=$(test_ca_pwd_rsa) not_before=20000101121212 not_after=20300101121212 md=MD5 version=3 output_file=$@
 all_final += cert_md5.crt
 
+################################################################
+#### Diffie-Hellman parameters
+################################################################
+
+dh.998.pem:
+	$(OPENSSL) dhparam -out $@ -text 998
+
+dh.999.pem:
+	$(OPENSSL) dhparam -out $@ -text 999
+
 ################################################################
 #### Meta targets
 ################################################################
diff --git a/tests/data_files/dh.998.pem b/tests/data_files/dh.998.pem
new file mode 100644
index 000000000..96d6cf2b8
--- /dev/null
+++ b/tests/data_files/dh.998.pem
@@ -0,0 +1,17 @@
+    DH Parameters: (998 bit)
+        prime:
+            39:5f:30:c0:7b:06:b7:6a:49:c6:c0:81:1f:39:77:
+            b3:35:e2:8d:66:fc:6a:6e:94:f3:df:97:f2:89:31:
+            6c:75:39:08:16:d1:a4:b8:0c:68:c5:63:21:61:eb:
+            48:2d:77:99:08:1d:67:38:37:0a:cd:cf:39:b6:3c:
+            9d:8a:e5:85:3c:71:e3:4b:3e:1e:b9:80:e3:cc:7a:
+            fd:84:05:b0:df:36:15:29:4e:3e:23:3b:c3:ae:6b:
+            c7:11:b9:64:43:40:75:c7:4a:ef:a7:2d:00:e2:62:
+            8f:93:78:96:8f:2c:25:8d:7d:1f:eb:5c:3c:bf:51:
+            de:f8:08:25:db
+        generator: 2 (0x2)
+-----BEGIN DH PARAMETERS-----
+MIGCAn05XzDAewa3aknGwIEfOXezNeKNZvxqbpTz35fyiTFsdTkIFtGkuAxoxWMh
+YetILXeZCB1nODcKzc85tjydiuWFPHHjSz4euYDjzHr9hAWw3zYVKU4+IzvDrmvH
+EblkQ0B1x0rvpy0A4mKPk3iWjywljX0f61w8v1He+Agl2wIBAg==
+-----END DH PARAMETERS-----
diff --git a/tests/data_files/dh.999.pem b/tests/data_files/dh.999.pem
new file mode 100644
index 000000000..6e3ceb3ba
--- /dev/null
+++ b/tests/data_files/dh.999.pem
@@ -0,0 +1,17 @@
+    DH Parameters: (999 bit)
+        prime:
+            4f:b8:d2:d8:3c:b3:02:c9:64:f5:99:fe:61:cc:b3:
+            69:1c:ba:bb:a2:33:db:38:2f:85:87:b7:12:fb:69:
+            6e:a5:32:3e:ff:24:df:c4:61:07:0c:e1:88:72:fa:
+            14:d4:22:65:18:66:09:7e:43:35:c4:5a:62:f7:0a:
+            69:be:45:71:6e:ac:c5:56:d8:22:9e:c4:9c:23:2b:
+            bd:6d:3b:b6:02:4f:5d:12:a7:ac:90:b8:9e:be:93:
+            82:bc:09:7c:cd:e1:09:21:1e:3d:69:2a:76:41:00:
+            68:6d:b7:e8:e8:df:d6:1b:82:93:d9:21:4a:ea:71:
+            f2:e6:c4:94:03
+        generator: 2 (0x2)
+-----BEGIN DH PARAMETERS-----
+MIGCAn1PuNLYPLMCyWT1mf5hzLNpHLq7ojPbOC+Fh7cS+2lupTI+/yTfxGEHDOGI
+cvoU1CJlGGYJfkM1xFpi9wppvkVxbqzFVtginsScIyu9bTu2Ak9dEqeskLievpOC
+vAl8zeEJIR49aSp2QQBobbfo6N/WG4KT2SFK6nHy5sSUAwIBAg==
+-----END DH PARAMETERS-----
diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index 6c54900ce..7f9ec005e 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -5537,6 +5537,20 @@ run_test    "DHM size: server 1024, client default, OK" \
             0 \
             -C "DHM prime too short:"
 
+run_test    "DHM size: server 999, client 999, OK" \
+            "$P_SRV dhm_file=data_files/dh.999.pem" \
+            "$P_CLI force_ciphersuite=TLS-DHE-RSA-WITH-AES-128-CBC-SHA \
+                    debug_level=1 dhmlen=999" \
+            0 \
+            -C "DHM prime too short:"
+
+run_test    "DHM size: server 1000, client 1000, OK" \
+            "$P_SRV dhm_file=data_files/dh.1000.pem" \
+            "$P_CLI force_ciphersuite=TLS-DHE-RSA-WITH-AES-128-CBC-SHA \
+                    debug_level=1 dhmlen=1000" \
+            0 \
+            -C "DHM prime too short:"
+
 run_test    "DHM size: server 1000, client default, rejected" \
             "$P_SRV dhm_file=data_files/dh.1000.pem" \
             "$P_CLI force_ciphersuite=TLS-DHE-RSA-WITH-AES-128-CBC-SHA \
@@ -5544,6 +5558,27 @@ run_test    "DHM size: server 1000, client default, rejected" \
             1 \
             -c "DHM prime too short:"
 
+run_test    "DHM size: server 1000, client 1001, rejected" \
+            "$P_SRV dhm_file=data_files/dh.1000.pem" \
+            "$P_CLI force_ciphersuite=TLS-DHE-RSA-WITH-AES-128-CBC-SHA \
+                    debug_level=1 dhmlen=1001" \
+            1 \
+            -c "DHM prime too short:"
+
+run_test    "DHM size: server 999, client 1000, rejected" \
+            "$P_SRV dhm_file=data_files/dh.999.pem" \
+            "$P_CLI force_ciphersuite=TLS-DHE-RSA-WITH-AES-128-CBC-SHA \
+                    debug_level=1 dhmlen=1000" \
+            1 \
+            -c "DHM prime too short:"
+
+run_test    "DHM size: server 998, client 999, rejected" \
+            "$P_SRV dhm_file=data_files/dh.998.pem" \
+            "$P_CLI force_ciphersuite=TLS-DHE-RSA-WITH-AES-128-CBC-SHA \
+                    debug_level=1 dhmlen=999" \
+            1 \
+            -c "DHM prime too short:"
+
 run_test    "DHM size: server default, client 2049, rejected" \
             "$P_SRV" \
             "$P_CLI force_ciphersuite=TLS-DHE-RSA-WITH-AES-128-CBC-SHA \