diff --git a/Core/include/Acts/Surfaces/RegularSurface.hpp b/Core/include/Acts/Surfaces/RegularSurface.hpp
index d23824dc7ca..c911a739519 100644
--- a/Core/include/Acts/Surfaces/RegularSurface.hpp
+++ b/Core/include/Acts/Surfaces/RegularSurface.hpp
@@ -8,6 +8,7 @@
 
 #pragma once
 
+#include "Acts/Definitions/Tolerance.hpp"
 #include "Acts/Surfaces/Surface.hpp"
 #include "Acts/Utilities/ThrowAssert.hpp"
 
@@ -105,11 +106,13 @@ class RegularSurface : public Surface {
   /// @param gctx The current geometry context object, e.g. alignment
   /// @param position global position to be evaludated
   /// @param boundaryTolerance BoundaryTolerance directive for this onSurface check
+  /// @param tolerance optional tolerance within which a point is considered on surface
   ///
   /// @return boolean indication if operation was successful
-  bool isOnSurface(const GeometryContext& gctx, const Vector3& position,
-                   const BoundaryTolerance& boundaryTolerance =
-                       BoundaryTolerance::None()) const;
+  bool isOnSurface(
+      const GeometryContext& gctx, const Vector3& position,
+      const BoundaryTolerance& boundaryTolerance = BoundaryTolerance::None(),
+      double tolerance = s_onSurfaceTolerance) const;
 
   using Surface::isOnSurface;
 };
diff --git a/Core/include/Acts/Surfaces/Surface.hpp b/Core/include/Acts/Surfaces/Surface.hpp
index f0f204d0791..1ca13d48600 100644
--- a/Core/include/Acts/Surfaces/Surface.hpp
+++ b/Core/include/Acts/Surfaces/Surface.hpp
@@ -252,12 +252,14 @@ class Surface : public virtual GeometryObject,
   /// @param position global position to be evaludated
   /// @param direction global momentum direction (required for line-type surfaces)
   /// @param boundaryTolerance BoundaryTolerance directive for this onSurface check
+  /// @param tolerance optional tolerance within which a point is considered on surface
   ///
   /// @return boolean indication if operation was successful
-  bool isOnSurface(const GeometryContext& gctx, const Vector3& position,
-                   const Vector3& direction,
-                   const BoundaryTolerance& boundaryTolerance =
-                       BoundaryTolerance::None()) const;
+  bool isOnSurface(
+      const GeometryContext& gctx, const Vector3& position,
+      const Vector3& direction,
+      const BoundaryTolerance& boundaryTolerance = BoundaryTolerance::None(),
+      double tolerance = s_onSurfaceTolerance) const;
 
   /// The insideBounds method for local positions
   ///
diff --git a/Core/src/Surfaces/RegularSurface.cpp b/Core/src/Surfaces/RegularSurface.cpp
index 83ffc6c69df..31f015bc6cf 100644
--- a/Core/src/Surfaces/RegularSurface.cpp
+++ b/Core/src/Surfaces/RegularSurface.cpp
@@ -31,11 +31,12 @@ Vector3 RegularSurface::localToGlobal(const GeometryContext& gctx,
   return localToGlobal(gctx, lposition);
 }
 
-bool RegularSurface::isOnSurface(
-    const GeometryContext& gctx, const Vector3& position,
-    const BoundaryTolerance& boundaryTolerance) const {
+bool RegularSurface::isOnSurface(const GeometryContext& gctx,
+                                 const Vector3& position,
+                                 const BoundaryTolerance& boundaryTolerance,
+                                 double tolerance) const {
   // global to local transformation
-  auto lpResult = globalToLocal(gctx, position);
+  auto lpResult = globalToLocal(gctx, position, tolerance);
   if (!lpResult.ok()) {
     return false;
   }
diff --git a/Core/src/Surfaces/Surface.cpp b/Core/src/Surfaces/Surface.cpp
index 1238488c7b2..d6442dbaf49 100644
--- a/Core/src/Surfaces/Surface.cpp
+++ b/Core/src/Surfaces/Surface.cpp
@@ -45,12 +45,13 @@ Acts::Surface::Surface(const GeometryContext& gctx, const Surface& other,
 
 Acts::Surface::~Surface() = default;
 
-bool Acts::Surface::isOnSurface(
-    const GeometryContext& gctx, const Vector3& position,
-    const Vector3& direction,
-    const BoundaryTolerance& boundaryTolerance) const {
+bool Acts::Surface::isOnSurface(const GeometryContext& gctx,
+                                const Vector3& position,
+                                const Vector3& direction,
+                                const BoundaryTolerance& boundaryTolerance,
+                                double tolerance) const {
   // global to local transformation
-  auto lpResult = globalToLocal(gctx, position, direction);
+  auto lpResult = globalToLocal(gctx, position, direction, tolerance);
   if (!lpResult.ok()) {
     return false;
   }