diff --git a/crates/bevy_app/src/propagate.rs b/crates/bevy_app/src/propagate.rs
index d851f0dd38402..e0a02c86f2df5 100644
--- a/crates/bevy_app/src/propagate.rs
+++ b/crates/bevy_app/src/propagate.rs
@@ -1,17 +1,18 @@
 use alloc::vec::Vec;
 use core::marker::PhantomData;
 
-use crate::{App, Plugin, Update};
+use crate::{App, Plugin};
 #[cfg(feature = "bevy_reflect")]
 use bevy_ecs::reflect::ReflectComponent;
 use bevy_ecs::{
     component::Component,
     entity::Entity,
     hierarchy::ChildOf,
+    intern::Interned,
     lifecycle::RemovedComponents,
     query::{Changed, Or, QueryFilter, With, Without},
     relationship::{Relationship, RelationshipTarget},
-    schedule::{IntoScheduleConfigs, SystemSet},
+    schedule::{IntoScheduleConfigs, ScheduleLabel, SystemSet},
     system::{Commands, Local, Query},
 };
 #[cfg(feature = "bevy_reflect")]
@@ -33,7 +34,7 @@ use bevy_reflect::Reflect;
 /// Individual entities can be skipped or terminate the propagation with the [`PropagateOver`]
 /// and [`PropagateStop`] components.
 ///
-/// Propagation occurs during [`Update`] in the [`PropagateSet<C>`] system set.
+/// The schedule can be configured via [`HierarchyPropagatePlugin::new`].
 /// You should be sure to schedule your logic relative to this set: making changes
 /// that modify component values before this logic, and reading the propagated
 /// values after it.
@@ -41,7 +42,22 @@ pub struct HierarchyPropagatePlugin<
     C: Component + Clone + PartialEq,
     F: QueryFilter = (),
     R: Relationship = ChildOf,
->(PhantomData<fn() -> (C, F, R)>);
+> {
+    schedule: Interned<dyn ScheduleLabel>,
+    _marker: PhantomData<fn() -> (C, F, R)>,
+}
+
+impl<C: Component + Clone + PartialEq, F: QueryFilter, R: Relationship>
+    HierarchyPropagatePlugin<C, F, R>
+{
+    /// Construct the plugin. The propagation systems will be placed in the specified schedule.
+    pub fn new(schedule: impl ScheduleLabel) -> Self {
+        Self {
+            schedule: schedule.intern(),
+            _marker: PhantomData,
+        }
+    }
+}
 
 /// Causes the inner component to be added to this entity and all direct and transient relationship
 /// targets. A target with a [`Propagate<C>`] component of its own will override propagation from
@@ -80,14 +96,6 @@ pub struct PropagateSet<C: Component + Clone + PartialEq> {
 )]
 pub struct Inherited<C: Component + Clone + PartialEq>(pub C);
 
-impl<C: Component + Clone + PartialEq, F: QueryFilter, R: Relationship> Default
-    for HierarchyPropagatePlugin<C, F, R>
-{
-    fn default() -> Self {
-        Self(Default::default())
-    }
-}
-
 impl<C> Default for PropagateOver<C> {
     fn default() -> Self {
         Self(Default::default())
@@ -129,7 +137,7 @@ impl<C: Component + Clone + PartialEq, F: QueryFilter + 'static, R: Relationship
 {
     fn build(&self, app: &mut App) {
         app.add_systems(
-            Update,
+            self.schedule,
             (
                 update_source::<C, F>,
                 update_stopped::<C, F>,
@@ -295,7 +303,7 @@ mod tests {
     fn test_simple_propagate() {
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::new(Update));
 
         let propagator = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let intermediate = app
@@ -322,7 +330,7 @@ mod tests {
     fn test_reparented() {
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::new(Update));
 
         let propagator = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let propagatee = app
@@ -344,7 +352,7 @@ mod tests {
     fn test_reparented_with_prior() {
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::new(Update));
 
         let propagator_a = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let propagator_b = app.world_mut().spawn(Propagate(TestValue(2))).id();
@@ -378,7 +386,7 @@ mod tests {
     fn test_remove_orphan() {
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::new(Update));
 
         let propagator = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let propagatee = app
@@ -409,7 +417,7 @@ mod tests {
     fn test_remove_propagated() {
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::new(Update));
 
         let propagator = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let propagatee = app
@@ -440,7 +448,7 @@ mod tests {
     fn test_propagate_over() {
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::new(Update));
 
         let propagator = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let propagate_over = app
@@ -467,7 +475,7 @@ mod tests {
     fn test_propagate_stop() {
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::new(Update));
 
         let propagator = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let propagate_stop = app
@@ -493,7 +501,7 @@ mod tests {
     fn test_intermediate_override() {
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue>::new(Update));
 
         let propagator = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let intermediate = app
@@ -534,7 +542,9 @@ mod tests {
 
         let mut app = App::new();
         app.add_schedule(Schedule::new(Update));
-        app.add_plugins(HierarchyPropagatePlugin::<TestValue, With<Marker>>::default());
+        app.add_plugins(HierarchyPropagatePlugin::<TestValue, With<Marker>>::new(
+            Update,
+        ));
 
         let propagator = app.world_mut().spawn(Propagate(TestValue(1))).id();
         let propagatee = app
diff --git a/crates/bevy_feathers/src/lib.rs b/crates/bevy_feathers/src/lib.rs
index d6ec11e7b6707..ef70be1844ed0 100644
--- a/crates/bevy_feathers/src/lib.rs
+++ b/crates/bevy_feathers/src/lib.rs
@@ -18,7 +18,7 @@
 //! Please report issues, submit fixes and propose changes.
 //! Thanks for stress-testing; let's build something better together.
 
-use bevy_app::{HierarchyPropagatePlugin, Plugin, PostUpdate};
+use bevy_app::{HierarchyPropagatePlugin, Plugin, PostUpdate, Update};
 use bevy_asset::embedded_asset;
 use bevy_ecs::query::With;
 use bevy_text::{TextColor, TextFont};
@@ -63,8 +63,8 @@ impl Plugin for FeathersPlugin {
         app.add_plugins((
             ControlsPlugin,
             CursorIconPlugin,
-            HierarchyPropagatePlugin::<TextColor, With<ThemedText>>::default(),
-            HierarchyPropagatePlugin::<TextFont, With<ThemedText>>::default(),
+            HierarchyPropagatePlugin::<TextColor, With<ThemedText>>::new(Update),
+            HierarchyPropagatePlugin::<TextFont, With<ThemedText>>::new(Update),
             UiMaterialPlugin::<AlphaPatternMaterial>::default(),
         ));