diff --git a/ndscan/experiment/fragment.py b/ndscan/experiment/fragment.py
index bd029f4f..a458d43a 100644
--- a/ndscan/experiment/fragment.py
+++ b/ndscan/experiment/fragment.py
@@ -370,7 +370,7 @@ def setattr_param(self, name: str, param_class: type, description: str, *args,
         param = param_class(fqn, description, *args, **kwargs)
         self._free_params[name] = param
 
-        handle = param.HandleType(self, name)
+        handle = param.HandleType(self, name, param)
         setattr(self, name, handle)
         return handle
 
@@ -419,7 +419,7 @@ def setattr_param_like(self,
         init_params["fqn"] = self.fqn + "." + name
         new_param = template_param.__class__(**init_params)
         self._free_params[name] = new_param
-        new_handle = new_param.HandleType(self, name)
+        new_handle = new_param.HandleType(self, name, new_param)
         setattr(self, name, new_handle)
         return new_handle
 
@@ -548,8 +548,13 @@ def bind_param(self, param_name: str, source: ParamHandle) -> Any:
 
         del self._free_params[param_name]
 
-        source.owner._rebound_subfragment_params.setdefault(source.name, []).extend(
-            self._get_all_handles_for_param(param_name))
+        handles = self._get_all_handles_for_param(param_name)
+
+        for handle in handles:
+            handle.parameter = source.parameter
+
+        source.owner._rebound_subfragment_params.setdefault(source.name,
+                                                            []).extend(handles)
 
         return param
 
diff --git a/ndscan/experiment/parameters.py b/ndscan/experiment/parameters.py
index f71bf1a4..84ee12a0 100644
--- a/ndscan/experiment/parameters.py
+++ b/ndscan/experiment/parameters.py
@@ -7,7 +7,6 @@
 # but to hang our heads in shame and manually instantiate the parameter handling
 # machinery for all supported value types, in particular to handle cases where e.g.
 # both an int and a float parameter is scanned at the same time.
-
 from artiq.language import host_only, portable, units
 from enum import Enum
 from numpy import int32
@@ -213,12 +212,15 @@ class ParamHandle:
     :param owner: The owning fragment.
     :param name: The name of the attribute in the owning fragment bound to this
         object.
+    :param parameter: The parameter associated with this handle. The
+        :attr:`~.ParamHandle.parameter` attribute points to the parameter currently
+        associated with this handle, tracking binding of the parameter.
     """
-    def __init__(self, owner: Any, name: str):
-        # `owner` will typically be a Fragment instance; no type hint to avoid circular
-        # dependency.
+    def __init__(self, owner: "Fragment", name: str, parameter):
         self.owner = owner
         self.name = name
+        self.parameter = parameter
+
         assert name.isidentifier(), ("ParamHandle name should be the identifier it is "
                                      "referred to as in the owning fragment.")
 
diff --git a/test/test_experiment_default_analysis.py b/test/test_experiment_default_analysis.py
index ab255c26..184e6995 100644
--- a/test/test_experiment_default_analysis.py
+++ b/test/test_experiment_default_analysis.py
@@ -6,9 +6,10 @@
 
 class CustomAnalysisTestCase(unittest.TestCase):
     def test_axis_matching(self):
-        foo = parameters.FloatParamHandle(None, "foo")
+        param = parameters.FloatParam("", "", 0.)
+        foo = parameters.FloatParamHandle(None, "foo", param)
         foo.set_store(parameters.FloatParamStore(("Fragment.foo", "*"), 0.0))
-        bar = parameters.FloatParamHandle(None, "bar")
+        bar = parameters.FloatParamHandle(None, "bar", param)
         bar.set_store(parameters.FloatParamStore(("Fragment.bar", "*"), 1.0))
 
         def make_axes(*axes):
diff --git a/test/test_experiment_parameters.py b/test/test_experiment_parameters.py
index 5377bdd7..f4ab111d 100644
--- a/test/test_experiment_parameters.py
+++ b/test/test_experiment_parameters.py
@@ -62,6 +62,7 @@ def build_fragment(inner_self) -> None:
             fqn = next(iter(schemata.keys()))
             self.assertTrue(fqn.endswith("Foo.baz"))
             self.assertEqual(schemata[fqn], self.EXPECTED_DESCRIPTION | {"fqn": fqn})
+            self.assertEqual(foo.bar.parameter, foo.baz.parameter)
 
 
 class FloatParamCase(GenericBase.Cases):