diff --git a/cryptography/hazmat/backends/openssl/ssl.py b/cryptography/hazmat/backends/openssl/ssl.py
index a1acde3..3fd0bf2 100644
--- a/cryptography/hazmat/backends/openssl/ssl.py
+++ b/cryptography/hazmat/backends/openssl/ssl.py
@@ -27,6 +27,11 @@
  */
 static const int Cryptography_HAS_RELEASE_BUFFERS;
 
+/* Internally invented symbol to tell us if SSL_OP_NO_COMPRESSION is
+ * supported
+ */
+static const int Cryptography_HAS_OP_NO_COMPRESSION;
+
 static const int SSL_FILETYPE_PEM;
 static const int SSL_FILETYPE_ASN1;
 static const int SSL_ERROR_NONE;
@@ -275,6 +280,13 @@
 static const int Cryptography_HAS_RELEASE_BUFFERS = 0;
 const int SSL_MODE_RELEASE_BUFFERS = 0;
 #endif
+
+#ifdef SSL_OP_NO_COMPRESSION
+static const int Cryptography_HAS_OP_NO_COMPRESSION = 1;
+#else
+static const int Cryptography_HAS_OP_NO_COMPRESSION = 0;
+const int SSL_OP_NO_COMPRESSION = 0;
+#endif
 """
 
 CONDITIONAL_NAMES = {
@@ -294,4 +306,8 @@
         "SSL_MODE_RELEASE_BUFFERS",
     ],
 
+    "Cryptography_HAS_OP_NO_COMPRESSION": [
+        "SSL_OP_NO_COMPRESSION",
+    ],
+
 }