diff --git a/osu.Game/Graphics/Cursor/IProvideLocalCursor.cs b/osu.Game/Graphics/Cursor/IProvideCursor.cs
similarity index 84%
rename from osu.Game/Graphics/Cursor/IProvideLocalCursor.cs
rename to osu.Game/Graphics/Cursor/IProvideCursor.cs
index 61631b1220..eb17f72846 100644
--- a/osu.Game/Graphics/Cursor/IProvideLocalCursor.cs
+++ b/osu.Game/Graphics/Cursor/IProvideCursor.cs
@@ -6,12 +6,12 @@ using osu.Framework.Graphics.Cursor;
 
 namespace osu.Game.Graphics.Cursor
 {
-    public interface IProvideLocalCursor : IDrawable
+    public interface IProvideCursor : IDrawable
     {
         /// <summary>
         /// The cursor provided by this <see cref="Drawable"/>.
         /// </summary>
-        CursorContainer LocalCursor { get; }
+        CursorContainer Cursor { get; }
 
         /// <summary>
         /// Whether the cursor provided by this <see cref="Drawable"/> should be displayed.
diff --git a/osu.Game/Graphics/Cursor/OsuCursorContainer.cs b/osu.Game/Graphics/Cursor/OsuCursorContainer.cs
index 8a25c9c587..bc4e084813 100644
--- a/osu.Game/Graphics/Cursor/OsuCursorContainer.cs
+++ b/osu.Game/Graphics/Cursor/OsuCursorContainer.cs
@@ -9,7 +9,7 @@ using osu.Framework.Input;
 
 namespace osu.Game.Graphics.Cursor
 {
-    public class OsuCursorContainer : Container, IProvideLocalCursor
+    public class OsuCursorContainer : Container, IProvideCursor
     {
         protected override Container<Drawable> Content => content;
         private readonly Container content;
@@ -19,14 +19,14 @@ namespace osu.Game.Graphics.Cursor
         /// </summary>
         public bool CanShowCursor;
 
-        public CursorContainer LocalCursor { get; }
+        public CursorContainer Cursor { get; }
         public bool ProvidesUserCursor => true;
 
         public OsuCursorContainer()
         {
             AddRangeInternal(new Drawable[]
             {
-                LocalCursor = new MenuCursor { State = Visibility.Hidden },
+                Cursor = new MenuCursor { State = Visibility.Hidden },
                 content = new Container { RelativeSizeAxes = Axes.Both }
             });
         }
@@ -39,24 +39,24 @@ namespace osu.Game.Graphics.Cursor
             inputManager = GetContainingInputManager();
         }
 
-        private IProvideLocalCursor currentTarget;
+        private IProvideCursor currentTarget;
         protected override void Update()
         {
             base.Update();
 
             if (!CanShowCursor)
             {
-                currentTarget?.LocalCursor?.Hide();
+                currentTarget?.Cursor?.Hide();
                 return;
             }
 
-            var newTarget = inputManager.HoveredDrawables.OfType<IProvideLocalCursor>().FirstOrDefault(t => t.ProvidesUserCursor) ?? this;
+            var newTarget = inputManager.HoveredDrawables.OfType<IProvideCursor>().FirstOrDefault(t => t.ProvidesUserCursor) ?? this;
 
             if (currentTarget == newTarget)
                 return;
 
-            currentTarget?.LocalCursor?.Hide();
-            newTarget.LocalCursor?.Show();
+            currentTarget?.Cursor?.Hide();
+            newTarget.Cursor?.Show();
 
             currentTarget = newTarget;
         }
diff --git a/osu.Game/OsuGameBase.cs b/osu.Game/OsuGameBase.cs
index c88ffd3739..c615b212c3 100644
--- a/osu.Game/OsuGameBase.cs
+++ b/osu.Game/OsuGameBase.cs
@@ -215,7 +215,7 @@ namespace osu.Game
             CursorContainer.Child = globalBinding = new GlobalKeyBindingInputManager(this)
             {
                 RelativeSizeAxes = Axes.Both,
-                Child = content = new OsuTooltipContainer(CursorContainer.LocalCursor) { RelativeSizeAxes = Axes.Both　}
+                Child = content = new OsuTooltipContainer(CursorContainer.Cursor) { RelativeSizeAxes = Axes.Both　}
             };
 
             base.Content.Add(new DrawSizePreservingFillContainer { Child = CursorContainer });
diff --git a/osu.Game/Screens/Play/Player.cs b/osu.Game/Screens/Play/Player.cs
index a2d1d161c4..4c294b08ff 100644
--- a/osu.Game/Screens/Play/Player.cs
+++ b/osu.Game/Screens/Play/Player.cs
@@ -33,7 +33,7 @@ using osu.Game.Storyboards.Drawables;
 
 namespace osu.Game.Screens.Play
 {
-    public class Player : OsuScreen, IProvideLocalCursor
+    public class Player : OsuScreen, IProvideCursor
     {
         protected override BackgroundScreen CreateBackground() => new BackgroundScreenBeatmap(Beatmap);
 
@@ -51,7 +51,7 @@ namespace osu.Game.Screens.Play
 
         public int RestartCount;
 
-        public CursorContainer LocalCursor => RulesetContainer.Cursor;
+        public CursorContainer Cursor => RulesetContainer.Cursor;
         public bool ProvidesUserCursor => RulesetContainer?.Cursor != null && !RulesetContainer.HasReplayLoaded;
 
         private IAdjustableClock adjustableSourceClock;
diff --git a/osu.Game/osu.Game.csproj b/osu.Game/osu.Game.csproj
index b87c1a0c6e..7175e813f4 100644
--- a/osu.Game/osu.Game.csproj
+++ b/osu.Game/osu.Game.csproj
@@ -374,7 +374,7 @@
     <Compile Include="Graphics\Containers\ParallaxContainer.cs" />
     <Compile Include="Graphics\Containers\ReverseChildIDFillFlowContainer.cs" />
     <Compile Include="Graphics\Containers\SectionsContainer.cs" />
-    <Compile Include="Graphics\Cursor\IProvideLocalCursor.cs" />
+    <Compile Include="Graphics\Cursor\IProvideCursor.cs" />
     <Compile Include="Graphics\Cursor\MenuCursor.cs" />
     <Compile Include="Graphics\Cursor\OsuContextMenuContainer.cs" />
     <Compile Include="Graphics\Cursor\OsuCursorContainer.cs" />