diff --git a/include/sway/tree/workspace.h b/include/sway/tree/workspace.h
index 1adbe68a2..fe200ec00 100644
--- a/include/sway/tree/workspace.h
+++ b/include/sway/tree/workspace.h
@@ -132,4 +132,6 @@ void workspace_get_box(struct sway_workspace *workspace, struct wlr_box *box);
 
 size_t workspace_num_tiling_views(struct sway_workspace *ws);
 
+size_t workspace_num_sticky_containers(struct sway_workspace *ws);
+
 #endif
diff --git a/sway/tree/output.c b/sway/tree/output.c
index d600c5c31..4dc22755a 100644
--- a/sway/tree/output.c
+++ b/sway/tree/output.c
@@ -152,21 +152,18 @@ void output_enable(struct sway_output *output) {
 	arrange_root();
 }
 
-static void evacuate_sticky(struct sway_workspace *old_ws,
-		struct sway_output *new_output) {
-	struct sway_workspace *new_ws = output_get_active_workspace(new_output);
-	if (!sway_assert(new_ws, "New output does not have a workspace")) {
-		return;
+static void evacuate_sticky(struct sway_container *con, void *data) {
+	if (container_is_floating(con) && con->is_sticky) {
+		struct sway_workspace *new_ws = data;
+		if (!sway_assert(new_ws, "Expected workspace to not be null")) {
+			return;
+		}
+		container_detach(con);
+		workspace_add_floating(new_ws, con);
+		container_handle_fullscreen_reparent(con);
+		container_floating_move_to_center(con);
+		ipc_event_window(con, "move");
 	}
-	while (old_ws->floating->length) {
-		struct sway_container *sticky = old_ws->floating->items[0];
-		container_detach(sticky);
-		workspace_add_floating(new_ws, sticky);
-		container_handle_fullscreen_reparent(sticky);
-		container_floating_move_to_center(sticky);
-		ipc_event_window(sticky, "move");
-	}
-	workspace_detect_urgent(new_ws);
 }
 
 static void output_evacuate(struct sway_output *output) {
@@ -195,18 +192,24 @@ static void output_evacuate(struct sway_output *output) {
 			new_output = root->noop_output;
 		}
 
-		if (workspace_is_empty(workspace)) {
-			// If floating is not empty, there are sticky containers to move
-			if (workspace->floating->length) {
-				evacuate_sticky(workspace, new_output);
-			}
-			workspace_begin_destroy(workspace);
-			continue;
-		}
-
 		struct sway_workspace *new_output_ws =
 			output_get_active_workspace(new_output);
 
+		if (workspace_is_empty(workspace)) {
+			// If the new output has an active workspace (the noop output may
+			// not have one), move all sticky containers to it
+			if (new_output_ws) {
+				workspace_for_each_container(workspace, evacuate_sticky,
+					new_output_ws);
+				workspace_detect_urgent(new_output_ws);
+			}
+
+			if (workspace_num_sticky_containers(workspace) == 0) {
+				workspace_begin_destroy(workspace);
+				continue;
+			}
+		}
+
 		workspace_output_add_priority(workspace, new_output);
 		output_add_workspace(new_output, workspace);
 		output_sort_workspaces(new_output);
diff --git a/sway/tree/workspace.c b/sway/tree/workspace.c
index 3bcba8e54..476c25681 100644
--- a/sway/tree/workspace.c
+++ b/sway/tree/workspace.c
@@ -817,3 +817,16 @@ size_t workspace_num_tiling_views(struct sway_workspace *ws) {
 	workspace_for_each_container(ws, count_tiling_views, &count);
 	return count;
 }
+
+static void count_sticky_containers(struct sway_container *con, void *data) {
+	if (container_is_floating(con) && con->is_sticky) {
+		size_t *count = data;
+		*count += 1;
+	}
+}
+
+size_t workspace_num_sticky_containers(struct sway_workspace *ws) {
+	size_t count = 0;
+	workspace_for_each_container(ws, count_sticky_containers, &count);
+	return count;
+}