diff --git a/include/wlr/types/wlr_output.h b/include/wlr/types/wlr_output.h
index 95ffc6702..75c313ef2 100644
--- a/include/wlr/types/wlr_output.h
+++ b/include/wlr/types/wlr_output.h
@@ -14,6 +14,7 @@
 #include <time.h>
 #include <wayland-server-protocol.h>
 #include <wayland-util.h>
+#include <wlr/render/swapchain.h>
 #include <wlr/render/wlr_renderer.h>
 #include <wlr/types/wlr_buffer.h>
 #include <wlr/util/addon.h>
@@ -36,6 +37,7 @@ struct wlr_output_mode {
 
 struct wlr_output_cursor {
 	struct wlr_output *output;
+	struct wlr_swapchain *swapchain;
 	double x, y;
 	bool enabled;
 	bool visible;
@@ -193,7 +195,6 @@ struct wlr_output {
 
 	struct wl_list cursors; // wlr_output_cursor.link
 	struct wlr_output_cursor *hardware_cursor;
-	struct wlr_swapchain *cursor_swapchain;
 	struct wlr_buffer *cursor_front_buffer;
 	int software_cursor_locks; // number of locks forcing software cursors
 
diff --git a/types/output/cursor.c b/types/output/cursor.c
index ad37a048a..2adf0acf5 100644
--- a/types/output/cursor.c
+++ b/types/output/cursor.c
@@ -286,27 +286,28 @@ static struct wlr_buffer *render_cursor_buffer(struct wlr_output_cursor *cursor)
 		}
 	}
 
-	if (output->cursor_swapchain == NULL ||
-			output->cursor_swapchain->width != width ||
-			output->cursor_swapchain->height != height) {
+	if (cursor->swapchain == NULL ||
+			cursor->swapchain->allocator != allocator ||
+			cursor->swapchain->width != width ||
+			cursor->swapchain->height != height) {
 		struct wlr_drm_format format = {0};
 		if (!output_pick_cursor_format(output, &format)) {
 			wlr_log(WLR_DEBUG, "Failed to pick cursor format");
 			return NULL;
 		}
 
-		wlr_swapchain_destroy(output->cursor_swapchain);
-		output->cursor_swapchain = wlr_swapchain_create(allocator,
+		wlr_swapchain_destroy(cursor->swapchain);
+		cursor->swapchain = wlr_swapchain_create(allocator,
 			width, height, &format);
 		wlr_drm_format_finish(&format);
-		if (output->cursor_swapchain == NULL) {
+		if (cursor->swapchain == NULL) {
 			wlr_log(WLR_ERROR, "Failed to create cursor swapchain");
 			return NULL;
 		}
 	}
 
 	struct wlr_buffer *buffer =
-		wlr_swapchain_acquire(output->cursor_swapchain, NULL);
+		wlr_swapchain_acquire(cursor->swapchain, NULL);
 	if (buffer == NULL) {
 		return NULL;
 	}
@@ -518,6 +519,7 @@ void wlr_output_cursor_destroy(struct wlr_output_cursor *cursor) {
 	if (cursor->own_texture) {
 		wlr_texture_destroy(cursor->texture);
 	}
+	wlr_swapchain_destroy(cursor->swapchain);
 	wl_list_remove(&cursor->link);
 	free(cursor);
 }
diff --git a/types/output/output.c b/types/output/output.c
index 57b4c87e2..e1ac95ef1 100644
--- a/types/output/output.c
+++ b/types/output/output.c
@@ -315,8 +315,6 @@ static void output_apply_state(struct wlr_output *output,
 	if ((state->committed & WLR_OUTPUT_STATE_ENABLED) && !state->enabled) {
 		wlr_swapchain_destroy(output->swapchain);
 		output->swapchain = NULL;
-		wlr_swapchain_destroy(output->cursor_swapchain);
-		output->cursor_swapchain = NULL;
 	}
 
 	if (state->committed & WLR_OUTPUT_STATE_LAYERS) {
@@ -469,7 +467,6 @@ void wlr_output_destroy(struct wlr_output *output) {
 		wlr_output_layer_destroy(layer);
 	}
 
-	wlr_swapchain_destroy(output->cursor_swapchain);
 	wlr_buffer_unlock(output->cursor_front_buffer);
 
 	wlr_swapchain_destroy(output->swapchain);
diff --git a/types/output/render.c b/types/output/render.c
index a185d8446..c2789bc72 100644
--- a/types/output/render.c
+++ b/types/output/render.c
@@ -34,9 +34,6 @@ bool wlr_output_init_render(struct wlr_output *output,
 	wlr_swapchain_destroy(output->swapchain);
 	output->swapchain = NULL;
 
-	wlr_swapchain_destroy(output->cursor_swapchain);
-	output->cursor_swapchain = NULL;
-
 	output->allocator = allocator;
 	output->renderer = renderer;
 
diff --git a/types/wlr_cursor.c b/types/wlr_cursor.c
index be5e06d43..159212073 100644
--- a/types/wlr_cursor.c
+++ b/types/wlr_cursor.c
@@ -575,6 +575,11 @@ static void output_cursor_output_handle_output_commit(
 			(event->committed & WLR_OUTPUT_STATE_BUFFER)) {
 		wlr_surface_send_frame_done(surface, event->when);
 	}
+
+	if (event->committed & WLR_OUTPUT_STATE_ENABLED) {
+		wlr_swapchain_destroy(output_cursor->output_cursor->swapchain);
+		output_cursor->output_cursor->swapchain = NULL;
+	}
 }
 
 static void cursor_update_outputs(struct wlr_cursor *cur) {