diff --git a/src/descriptor/key_map.rs b/src/descriptor/key_map.rs
index 00c797ee1..dd8dc7690 100644
--- a/src/descriptor/key_map.rs
+++ b/src/descriptor/key_map.rs
@@ -74,14 +74,27 @@ impl GetKey for DescriptorSecretKey {
                 }
 
                 if descriptor_xkey.matches(key_source, secp).is_some() {
-                    let (_, derivation_path) = key_source;
-                    return Ok(Some(
-                        descriptor_xkey
-                            .xkey
-                            .derive_priv(secp, &derivation_path)
-                            .map_err(GetKeyError::Bip32)?
-                            .to_priv(),
-                    ));
+                    let (_, full_path) = key_source;
+
+                    match &descriptor_xkey.origin {
+                        Some((_, origin_path)) => {
+                            let derivation_path = &full_path[origin_path.len()..];
+                            return Ok(Some(
+                                descriptor_xkey
+                                    .xkey
+                                    .derive_priv(secp, &derivation_path)?
+                                    .to_priv(),
+                            ));
+                        }
+                        None => {
+                            return Ok(Some(
+                                descriptor_xkey
+                                    .xkey
+                                    .derive_priv(secp, &full_path)?
+                                    .to_priv(),
+                            ))
+                        }
+                    };
                 }
 
                 Ok(None)
@@ -252,7 +265,7 @@ mod tests {
     }
 
     #[test]
-    fn get_key_xpriv_with_key_origin() {
+    fn get_key_xpriv_with_key_origin_and_wildcard() {
         let secp = Secp256k1::new();
 
         let descriptor_str = "wpkh([d34db33f/84h/1h/0h]tprv8ZgxMBicQKsPd3EupYiPRhaMooHKUHJxNsTfYuScep13go8QFfHdtkG9nRkFGb7busX4isf6X9dURGCoKgitaApQ6MupRhZMcELAxTBRJgS/*)";
@@ -265,11 +278,49 @@ mod tests {
             _ => unreachable!(),
         };
 
-        let path = DerivationPath::from_str("84'/1'/0'/0").unwrap();
-        let expected_pk = xpriv.xkey.derive_priv(&secp, &path).unwrap().to_priv();
+        let expected_deriv_path: DerivationPath = (&[ChildNumber::Normal { index: 0 }][..]).into();
+        let expected_pk = xpriv
+            .xkey
+            .derive_priv(&secp, &expected_deriv_path)
+            .unwrap()
+            .to_priv();
+
+        let derivation_path = DerivationPath::from_str("84'/1'/0'/0").unwrap();
+        let (fp, _) = xpriv.origin.unwrap();
+        let key_request = KeyRequest::Bip32((fp, derivation_path));
+
+        let pk = keymap_wrapper
+            .get_key(key_request, &secp)
+            .expect("get_key should not fail")
+            .expect("get_key should return a `PrivateKey`");
+
+        assert_eq!(pk, expected_pk);
+    }
+
+    #[test]
+    fn get_key_xpriv_with_key_origin_and_no_wildcard() {
+        let secp = Secp256k1::new();
+
+        let descriptor_str = "wpkh([d34db33f/84h/1h/0h]tprv8ZgxMBicQKsPd3EupYiPRhaMooHKUHJxNsTfYuScep13go8QFfHdtkG9nRkFGb7busX4isf6X9dURGCoKgitaApQ6MupRhZMcELAxTBRJgS/0)";
+        let (_descriptor_pk, keymap) = Descriptor::parse_descriptor(&secp, descriptor_str).unwrap();
+        let keymap_wrapper = KeyMapWrapper::from(keymap);
+
+        let descriptor_sk = DescriptorSecretKey::from_str("[d34db33f/84h/1h/0h]tprv8ZgxMBicQKsPd3EupYiPRhaMooHKUHJxNsTfYuScep13go8QFfHdtkG9nRkFGb7busX4isf6X9dURGCoKgitaApQ6MupRhZMcELAxTBRJgS/0").unwrap();
+        let xpriv = match descriptor_sk {
+            DescriptorSecretKey::XPrv(descriptor_xkey) => descriptor_xkey,
+            _ => unreachable!(),
+        };
+
+        let expected_deriv_path: DerivationPath = (&[ChildNumber::Normal { index: 0 }][..]).into();
+        let expected_pk = xpriv
+            .xkey
+            .derive_priv(&secp, &expected_deriv_path)
+            .unwrap()
+            .to_priv();
 
+        let derivation_path = DerivationPath::from_str("84'/1'/0'/0").unwrap();
         let (fp, _) = xpriv.origin.unwrap();
-        let key_request = KeyRequest::Bip32((fp, path));
+        let key_request = KeyRequest::Bip32((fp, derivation_path));
 
         let pk = keymap_wrapper
             .get_key(key_request, &secp)
diff --git a/src/policy/concrete.rs b/src/policy/concrete.rs
index 6c4321326..75d31a400 100644
--- a/src/policy/concrete.rs
+++ b/src/policy/concrete.rs
@@ -350,6 +350,7 @@ impl<Pk: MiniscriptKey> Policy<Pk> {
     /// It is **not recommended** to use policy as a stable identifier for a miniscript. You should
     /// use the policy compiler once, and then use the miniscript output as a stable identifier. See
     /// the compiler document in [`doc/compiler.md`] for more details.
+    #[allow(rustdoc::broken_intra_doc_links)]
     #[cfg(feature = "compiler")]
     pub fn compile_to_descriptor<Ctx: ScriptContext>(
         &self,