diff --git a/doc/src/sgml/installation.sgml b/doc/src/sgml/installation.sgml
index 9c10a897f19..d4904bf5a06 100644
--- a/doc/src/sgml/installation.sgml
+++ b/doc/src/sgml/installation.sgml
@@ -254,7 +254,7 @@ su - postgres
       encrypted client connections.  <productname>OpenSSL</productname> is
       also required for random number generation on platforms that do not
       have <filename>/dev/urandom</filename> (except Windows).  The minimum
-      version required is 0.9.8.
+      version required is 1.0.1.
      </para>
     </listitem>
 
diff --git a/doc/src/sgml/libpq.sgml b/doc/src/sgml/libpq.sgml
index 66b09da06f1..64cff49c4d7 100644
--- a/doc/src/sgml/libpq.sgml
+++ b/doc/src/sgml/libpq.sgml
@@ -1608,10 +1608,6 @@ postgresql://%2Fvar%2Flib%2Fpostgresql/dbname
         compression by default, and many operating system distributions
         disable it in prior versions as well, so setting this parameter to on
         will not have any effect if the server does not accept compression.
-        On the other hand, <productname>OpenSSL</productname> before 1.0.0
-        does not support disabling compression, so this parameter is ignored
-        with those versions, and whether compression is used depends on the
-        server.
        </para>
 
        <para>
diff --git a/src/backend/libpq/be-secure-openssl.c b/src/backend/libpq/be-secure-openssl.c
index 7ad32116eab..62f1fcab2b0 100644
--- a/src/backend/libpq/be-secure-openssl.c
+++ b/src/backend/libpq/be-secure-openssl.c
@@ -223,9 +223,7 @@ be_tls_init(bool isServerStart)
 	}
 
 	/* disallow SSL session tickets */
-#ifdef SSL_OP_NO_TICKET			/* added in OpenSSL 0.9.8f */
 	SSL_CTX_set_options(context, SSL_OP_NO_TICKET);
-#endif
 
 	/* disallow SSL session caching, too */
 	SSL_CTX_set_session_cache_mode(context, SSL_SESS_CACHE_OFF);
diff --git a/src/interfaces/libpq/fe-secure-openssl.c b/src/interfaces/libpq/fe-secure-openssl.c
index ce8e252c091..0e84fc8ac6f 100644
--- a/src/interfaces/libpq/fe-secure-openssl.c
+++ b/src/interfaces/libpq/fe-secure-openssl.c
@@ -1192,15 +1192,12 @@ initialize_SSL(PGconn *conn)
 		SSL_set_verify(conn->ssl, SSL_VERIFY_PEER, verify_cb);
 
 	/*
-	 * Set compression option if the OpenSSL version used supports it (from
-	 * 1.0.0 on).
+	 * Set compression option if necessary.
 	 */
-#ifdef SSL_OP_NO_COMPRESSION
 	if (conn->sslcompression && conn->sslcompression[0] == '0')
 		SSL_set_options(conn->ssl, SSL_OP_NO_COMPRESSION);
 	else
 		SSL_clear_options(conn->ssl, SSL_OP_NO_COMPRESSION);
-#endif
 
 	return 0;
 }
diff --git a/src/test/ssl/t/SSLServer.pm b/src/test/ssl/t/SSLServer.pm
index 26b5964f4fe..005955a2ff7 100644
--- a/src/test/ssl/t/SSLServer.pm
+++ b/src/test/ssl/t/SSLServer.pm
@@ -132,10 +132,6 @@ sub configure_test_server_for_ssl
 	print $conf "listen_addresses='$serverhost'\n";
 	print $conf "log_statement=all\n";
 
-	# Accept even old TLS versions so that builds with older OpenSSL
-	# can run the test suite.
-	print $conf "ssl_min_protocol_version='TLSv1'\n";
-
 	# enable SSL and set up server key
 	print $conf "include 'sslconfig.conf'\n";