diff --git a/include/asio/ssl/impl/context.ipp b/include/asio/ssl/impl/context.ipp
index bb88816eea..fd481ad8c8 100644
--- a/include/asio/ssl/impl/context.ipp
+++ b/include/asio/ssl/impl/context.ipp
@@ -270,7 +270,7 @@ context::context(context::method m)
 
     // TLS v1.3.
 #if ((OPENSSL_VERSION_NUMBER >= 0x10101000L) \
-      && !defined(LIBRESSL_VERSION_NUMBER)) \
+      && (!defined(LIBRESSL_VERSION_NUMBER) || LIBRESSL_VERSION_NUMBER >= 0x3020000fL)) \
     || defined(ASIO_USE_WOLFSSL)
   case context::tlsv13:
     handle_ = ::SSL_CTX_new(::TLS_method());