diff --git a/crypto/dh/dh_check.c b/crypto/dh/dh_check.c
index 0b391910d6..84a926998e 100644
--- a/crypto/dh/dh_check.c
+++ b/crypto/dh/dh_check.c
@@ -152,6 +152,12 @@ int DH_check(const DH *dh, int *ret)
     if (nid != NID_undef)
         return 1;
 
+    /* Don't do any checks at all with an excessively large modulus */
+    if (BN_num_bits(dh->params.p) > OPENSSL_DH_CHECK_MAX_MODULUS_BITS) {
+        ERR_raise(ERR_LIB_DH, DH_R_MODULUS_TOO_LARGE);
+        return 0;
+    }
+
     if (!DH_check_params(dh, ret))
         return 0;
 
diff --git a/include/openssl/dh.h b/include/openssl/dh.h
index b97871eca7..36420f51d8 100644
--- a/include/openssl/dh.h
+++ b/include/openssl/dh.h
@@ -89,7 +89,11 @@ int EVP_PKEY_CTX_get0_dh_kdf_ukm(EVP_PKEY_CTX *ctx, unsigned char **ukm);
 #  include <openssl/dherr.h>
 
 #  ifndef OPENSSL_DH_MAX_MODULUS_BITS
-#   define OPENSSL_DH_MAX_MODULUS_BITS    10000
+#   define OPENSSL_DH_MAX_MODULUS_BITS        10000
+#  endif
+
+#  ifndef OPENSSL_DH_CHECK_MAX_MODULUS_BITS
+#   define OPENSSL_DH_CHECK_MAX_MODULUS_BITS  32768
 #  endif
 
 #  define OPENSSL_DH_FIPS_MIN_MODULUS_BITS 1024
diff --git a/test/dhtest.c b/test/dhtest.c
index 7b587f3cfa..f8dd8f3aa7 100644
--- a/test/dhtest.c
+++ b/test/dhtest.c
@@ -73,7 +73,7 @@ static int dh_test(void)
         goto err1;
 
     /* check fails, because p is way too small */
-    if (!DH_check(dh, &i))
+    if (!TEST_true(DH_check(dh, &i)))
         goto err2;
     i ^= DH_MODULUS_TOO_SMALL;
     if (!TEST_false(i & DH_CHECK_P_NOT_PRIME)
@@ -124,6 +124,17 @@ static int dh_test(void)
     /* We'll have a stale error on the queue from the above test so clear it */
     ERR_clear_error();
 
+    /* Modulus of size: dh check max modulus bits + 1 */
+    if (!TEST_true(BN_set_word(p, 1))
+            || !TEST_true(BN_lshift(p, p, OPENSSL_DH_CHECK_MAX_MODULUS_BITS)))
+        goto err3;
+
+    /*
+     * We expect no checks at all for an excessively large modulus
+     */
+    if (!TEST_false(DH_check(dh, &i)))
+        goto err3;
+
     /*
      * II) key generation
      */
@@ -138,7 +149,7 @@ static int dh_test(void)
         goto err3;
 
     /* ... and check whether it is valid */
-    if (!DH_check(a, &i))
+    if (!TEST_true(DH_check(a, &i)))
         goto err3;
     if (!TEST_false(i & DH_CHECK_P_NOT_PRIME)
             || !TEST_false(i & DH_CHECK_P_NOT_SAFE_PRIME)