diff --git a/sway/desktop/output.c b/sway/desktop/output.c
index e0d76349..3ae97e66 100644
--- a/sway/desktop/output.c
+++ b/sway/desktop/output.c
@@ -5,6 +5,7 @@
 #include <time.h>
 #include <wayland-server-core.h>
 #include <wlr/backend/drm.h>
+#include <wlr/backend/headless.h>
 #include <wlr/render/wlr_renderer.h>
 #include <wlr/types/wlr_buffer.h>
 #include <wlr/types/wlr_drm_lease_v1.h>
@@ -833,13 +834,22 @@ static void handle_present(struct wl_listener *listener, void *data) {
 	output->refresh_nsec = output_event->refresh;
 }
 
+static unsigned int last_headless_num = 0;
+
 void handle_new_output(struct wl_listener *listener, void *data) {
 	struct sway_server *server = wl_container_of(listener, server, new_output);
 	struct wlr_output *wlr_output = data;
+
 	if (wlr_output == root->fallback_output->wlr_output) {
 		return;
 	}
 
+	if (wlr_output_is_headless(wlr_output)) {
+		char name[64];
+		snprintf(name, sizeof(name), "HEADLESS-%u", ++last_headless_num);
+		wlr_output_set_name(wlr_output, name);
+	}
+
 	sway_log(SWAY_DEBUG, "New output %p: %s (non-desktop: %d)",
 			wlr_output, wlr_output->name, wlr_output->non_desktop);
 
diff --git a/sway/server.c b/sway/server.c
index ff269c79..582a04ab 100644
--- a/sway/server.c
+++ b/sway/server.c
@@ -227,6 +227,7 @@ bool server_init(struct sway_server *server) {
 
 	struct wlr_output *wlr_output =
 			wlr_headless_add_output(server->headless_backend, 800, 600);
+	wlr_output_set_name(wlr_output, "FALLBACK");
 	root->fallback_output = output_create(wlr_output);
 
 	// This may have been set already via -Dtxn-timeout