diff --git a/CHANGES b/CHANGES
index cf4587531fb8ce5e2279c793282c7cb8461dd274..aafc2620bb7b1651e3f7a1cecaad03b9d1f56d99 100644
--- a/CHANGES
+++ b/CHANGES
@@ -9,6 +9,26 @@
 
  Changes between 1.1.1 and 1.1.1a [xx XXX xxxx]
 
+  *) Timing vulnerability in DSA signature generation
+
+     The OpenSSL DSA signature algorithm has been shown to be vulnerable to a
+     timing side channel attack. An attacker could use variations in the signing
+     algorithm to recover the private key.
+
+     This issue was reported to OpenSSL on 16th October 2018 by Samuel Weiser.
+     (CVE-2018-0734)
+     [Paul Dale]
+
+  *) Timing vulnerability in ECDSA signature generation
+
+     The OpenSSL ECDSA signature algorithm has been shown to be vulnerable to a
+     timing side channel attack. An attacker could use variations in the signing
+     algorithm to recover the private key.
+
+     This issue was reported to OpenSSL on 25th October 2018 by Samuel Weiser.
+     (CVE-2018-0735)
+     [Paul Dale]
+
   *) Added EVP_PKEY_ECDH_KDF_X9_63 and ecdh_KDF_X9_63() as replacements for
      the EVP_PKEY_ECDH_KDF_X9_62 KDF type and ECDH_KDF_X9_62(). The old names
      are retained for backwards compatibility.
diff --git a/NEWS b/NEWS
index 4026385dd7fc926783d4a224c6ec5e182a91b458..410e845e0e061ec807b1250eba7dfd73afc4855f 100644
--- a/NEWS
+++ b/NEWS
@@ -7,7 +7,8 @@
 
   Major changes between OpenSSL 1.1.1 and OpenSSL 1.1.1a [under development]
 
-      o
+      o Timing vulnerability in DSA signature generation (CVE-2018-0734)
+      o Timing vulnerability in ECDSA signature generation (CVE-2018-0735)
 
   Major changes between OpenSSL 1.1.0i and OpenSSL 1.1.1 [11 Sep 2018]