diff --git a/tests/test_e2e_tapscripts.py b/tests/test_e2e_tapscripts.py
index debaf4da..d9d2676f 100644
--- a/tests/test_e2e_tapscripts.py
+++ b/tests/test_e2e_tapscripts.py
@@ -286,3 +286,27 @@ def test_e2e_tapscript_large(rpc, rpc_test_wallet, client: Client, speculos_glob
         keys_info=keys_info)
 
     run_test_e2e(wallet_policy, [core_wallet_name], rpc, rpc_test_wallet, client, speculos_globals, comm)
+
+
+def test_e2e_tapminiscript_keypath_or_decaying_3of3(rpc, rpc_test_wallet, client: Client, speculos_globals: SpeculosGlobals, comm: Union[TransportClient, SpeculosClient]):
+    # The key path is external
+    # The only script path is a decaying 3-of-3 that becomes a 2-of-3 after the timelock.
+    # Only one internal key in the script path.
+
+    path = "499'/1'/0'"
+    _, core_xpub_orig_1 = create_new_wallet()
+    core_name_2, core_xpub_orig_2 = create_new_wallet()
+    core_name_3, core_xpub_orig_3 = create_new_wallet()
+    internal_xpub = get_internal_xpub(speculos_globals.seed, path)
+    wallet_policy = WalletPolicy(
+        name="Internal or decaying 3-of-3",
+        descriptor_template="tr(@0/**,thresh(3,pk(@1/**),s:pk(@2/**),s:pk(@3/**),sln:older(12960)))",
+        keys_info=[
+            f"{core_xpub_orig_1}",
+            f"[{speculos_globals.master_key_fingerprint.hex()}/{path}]{internal_xpub}",
+            f"{core_xpub_orig_2}",
+            f"{core_xpub_orig_3}",
+        ])
+
+    run_test_e2e(wallet_policy, [core_name_2, core_name_3],
+                 rpc, rpc_test_wallet, client, speculos_globals, comm)