diff --git a/include/re_tls.h b/include/re_tls.h
index ed8f29d..6bfc0f2 100644
--- a/include/re_tls.h
+++ b/include/re_tls.h
@@ -15,6 +15,8 @@ struct udp_sock;
 enum tls_method {
 	TLS_METHOD_SSLV23,
 	TLS_METHOD_DTLSV1,
+	TLS_METHOD_DTLS,      /* DTLS 1.0 and 1.2 */
+	TLS_METHOD_DTLSV1_2,  /* DTLS 1.2 */
 };
 
 enum tls_fingerprint {
diff --git a/src/tls/openssl/tls.c b/src/tls/openssl/tls.c
index 1914810..fa5772f 100644
--- a/src/tls/openssl/tls.c
+++ b/src/tls/openssl/tls.c
@@ -97,6 +97,19 @@ int tls_alloc(struct tls **tlsp, enum tls_method method, const char *keyfile,
 	case TLS_METHOD_DTLSV1:
 		tls->ctx = SSL_CTX_new(DTLSv1_method());
 		break;
+
+#ifdef SSL_OP_NO_DTLSv1_2
+		/* DTLS v1.2 is available in OpenSSL 1.0.2 and later */
+
+	case TLS_METHOD_DTLS:
+		tls->ctx = SSL_CTX_new(DTLS_method());
+		break;
+
+	case TLS_METHOD_DTLSV1_2:
+		tls->ctx = SSL_CTX_new(DTLSv1_2_method());
+		break;
+#endif
+
 #endif
 
 	default: