diff --git a/mesonbuild/interpreter/mesonmain.py b/mesonbuild/interpreter/mesonmain.py
index 31ef544cdc6a..a148f9624ae6 100644
--- a/mesonbuild/interpreter/mesonmain.py
+++ b/mesonbuild/interpreter/mesonmain.py
@@ -1,8 +1,9 @@
 # SPDX-License-Identifier: Apache-2.0
 # Copyright 2012-2021 The Meson development team
-# Copyright © 2021 Intel Corporation
+# Copyright © 2021-2024 Intel Corporation
 from __future__ import annotations
 
+import copy
 import os
 import typing as T
 
@@ -348,6 +349,16 @@ def override_dependency_method(self, args: T.Tuple[str, dependencies.Dependency]
         if not name:
             raise InterpreterException('First argument must be a string and cannot be empty')
 
+        # Make a copy since we're going to mutate.
+        #
+        #   dep = declare_dependency()
+        #   meson.override_dependency('foo', dep)
+        #   meson.override_dependency('foo-1.0', dep)
+        #   dep = dependency('foo')
+        #   dep.name() # == 'foo-1.0'
+        dep = copy.copy(dep)
+        dep.name = name
+
         optkey = OptionKey('default_library', subproject=self.interpreter.subproject)
         default_library = self.interpreter.coredata.get_option(optkey)
         assert isinstance(default_library, str), 'for mypy'
diff --git a/test cases/common/98 subproject subdir/meson.build b/test cases/common/98 subproject subdir/meson.build
index ef053d86c41c..d2bafedf5119 100644
--- a/test cases/common/98 subproject subdir/meson.build	
+++ b/test cases/common/98 subproject subdir/meson.build	
@@ -1,3 +1,7 @@
+# SPDX-License-Identifier: Apache-2.0
+# Copyright 2016-2023 The Meson Developers
+# Copyright © 2024 Intel Corporation
+
 project('proj', 'c')
 subproject('sub')
 libSub = dependency('sub', fallback: ['sub', 'libSub'])
@@ -6,7 +10,19 @@ exe = executable('prog', 'prog.c', dependencies: libSub)
 test('subproject subdir', exe)
 
 # Verify the subproject has placed dependency override.
-dependency('sub-1.0')
+d = dependency('sub-1.0')
+
+# verify that the name is the overridden name
+assert(d.name() == 'sub-1.0', 'name was not properly set, should have been "sub-1.0", but was @0@'.format(d.name()))
+
+# Verify that when a dependency object is used for two overrides, the correct
+# name is used
+meson.override_dependency('new-dep', d)
+d2 = dependency('new-dep')
+assert(d2.name() == 'new-dep', 'name was not properly set, should have been "new-dep", but was @0@'.format(d2.name()))
+
+# And that the old dependency wasn't changed
+assert(d.name() == 'sub-1.0', 'original dependency was mutated.')
 
 # Verify we can now take 'sub' dependency without fallback, but only version 1.0.
 dependency('sub')