diff --git a/tests/suites/test_suite_dhm.data b/tests/suites/test_suite_dhm.data
index e5fb42857..863e25c17 100644
--- a/tests/suites/test_suite_dhm.data
+++ b/tests/suites/test_suite_dhm.data
@@ -82,6 +82,27 @@ dhm_do_dhm:10:"3":1:10:"5":MBEDTLS_ERR_DHM_MAKE_PARAMS_FAILED+MBEDTLS_ERR_MPI_BA
 Diffie-Hellman zero modulus
 dhm_do_dhm:10:"0":1:10:"5":MBEDTLS_ERR_DHM_BAD_INPUT_DATA
 
+Diffie-Hellman with G=0
+dhm_do_dhm:10:"93450983094850938450983409623":13:10:"0":MBEDTLS_ERR_DHM_BAD_INPUT_DATA
+
+Diffie-Hellman with G=1
+dhm_do_dhm:10:"93450983094850938450983409623":13:10:"1":MBEDTLS_ERR_DHM_BAD_INPUT_DATA
+
+Diffie-Hellman with G=P-1
+dhm_do_dhm:10:"93450983094850938450983409623":13:10:"93450983094850938450983409622":MBEDTLS_ERR_DHM_BAD_INPUT_DATA
+
+Diffie-Hellman with G=P-2
+dhm_do_dhm:10:"93450983094850938450983409623":13:10:"93450983094850938450983409621":0
+
+Diffie-Hellman with G=P
+dhm_do_dhm:10:"93450983094850938450983409623":13:10:"93450983094850938450983409623":MBEDTLS_ERR_DHM_BAD_INPUT_DATA
+
+Diffie-Hellman with G=P+1
+dhm_do_dhm:10:"93450983094850938450983409623":13:10:"93450983094850938450983409624":MBEDTLS_ERR_DHM_BAD_INPUT_DATA
+
+Diffie-Hellman with G=P+2
+dhm_do_dhm:10:"93450983094850938450983409623":13:10:"93450983094850938450983409625":0
+
 Diffie-Hellman: x_size < 0
 dhm_do_dhm:10:"93450983094850938450983409623":-1:10:"9345098304850938450983409622":MBEDTLS_ERR_DHM_BAD_INPUT_DATA