diff --git a/CHANGES.md b/CHANGES.md
index 6cfba54e72..28ed897231 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -286,6 +286,25 @@ OpenSSL 3.1
 
 ### Changes between 3.1.1 and 3.1.2 [xx XXX xxxx]
 
+ * Fix DH_check() excessive time with over sized modulus
+
+   The function DH_check() performs various checks on DH parameters. One of
+   those checks confirms that the modulus ("p" parameter) is not too large.
+   Trying to use a very large modulus is slow and OpenSSL will not normally use
+   a modulus which is over 10,000 bits in length.
+
+   However the DH_check() function checks numerous aspects of the key or
+   parameters that have been supplied. Some of those checks use the supplied
+   modulus value even if it has already been found to be too large.
+
+   A new limit has been added to DH_check of 32,768 bits. Supplying a
+   key/parameters with a modulus over this size will simply cause DH_check() to
+   fail.
+
+   ([CVE-2023-3446])
+
+   *Matt Caswell*
+
  * Do not ignore empty associated data entries with AES-SIV.
 
    The AES-SIV algorithm allows for authentication of multiple associated
@@ -20031,6 +20050,7 @@ ndif
 
 <!-- Links -->
 
+[CVE-2023-3446]: https://www.openssl.org/news/vulnerabilities.html#CVE-2023-3446
 [CVE-2023-2975]: https://www.openssl.org/news/vulnerabilities.html#CVE-2023-2975
 [RFC 2578 (STD 58), section 3.5]: https://datatracker.ietf.org/doc/html/rfc2578#section-3.5
 [CVE-2023-2650]: https://www.openssl.org/news/vulnerabilities.html#CVE-2023-2650
diff --git a/NEWS.md b/NEWS.md
index 7bfc645626..899be2b616 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -39,6 +39,7 @@ OpenSSL 3.1
 
 ### Major changes between OpenSSL 3.1.1 and OpenSSL 3.1.2 [under development]
 
+  * Fix DH_check() excessive time with over sized modulus ([CVE-2023-3446])
   * Do not ignore empty associated data entries with AES-SIV ([CVE-2023-2975])
   * When building with the `enable-fips` option and using the resulting
     FIPS provider, TLS 1.2 will, by default, mandate the use of an
@@ -1480,6 +1481,7 @@ OpenSSL 0.9.x
 
 <!-- Links -->
 
+[CVE-2023-3446]: https://www.openssl.org/news/vulnerabilities.html#CVE-2023-3446
 [CVE-2023-2975]: https://www.openssl.org/news/vulnerabilities.html#CVE-2023-2975
 [CVE-2023-2650]: https://www.openssl.org/news/vulnerabilities.html#CVE-2023-2650
 [CVE-2023-1255]: https://www.openssl.org/news/vulnerabilities.html#CVE-2023-1255