diff --git a/sphinx_js/ir.py b/sphinx_js/ir.py
index 971e45de..47a81aff 100644
--- a/sphinx_js/ir.py
+++ b/sphinx_js/ir.py
@@ -45,6 +45,7 @@ class TypeXRefInternal:
     name: str
     path: list[str]
     type: Literal["internal"] = "internal"
+    kind: str | None = None
 
 
 @define
diff --git a/sphinx_js/js/convertType.ts b/sphinx_js/js/convertType.ts
index 597d7c2f..f86c8569 100644
--- a/sphinx_js/js/convertType.ts
+++ b/sphinx_js/js/convertType.ts
@@ -297,7 +297,6 @@ class TypeConverter implements TypeVisitor<Type> {
   }
 
   reference(type: ReferenceType): Type {
-    let res;
     if (type.isIntentionallyBroken()) {
       // If it's intentionally broken, don't add an xref. It's probably a type
       // parameter.
@@ -305,7 +304,7 @@ class TypeConverter implements TypeVisitor<Type> {
     } else {
       // if we got a reflection use that. It's not all that clear how to deal
       // with type arguments here though...
-      res = this.convertPrivateReferenceToReflection(type);
+      const res = this.convertPrivateReferenceToReflection(type);
       // else use convertReferenceToXRef
       if (res) {
         return res;
diff --git a/sphinx_js/renderers.py b/sphinx_js/renderers.py
index ffb19c1f..746d364b 100644
--- a/sphinx_js/renderers.py
+++ b/sphinx_js/renderers.py
@@ -175,7 +175,7 @@ class HasDepPath(Protocol):
 
 
 class Renderer:
-    _type_xref_formatter: Callable[[TypeXRef, str | None], str]
+    _type_xref_formatter: Callable[[TypeXRef], str]
     # We turn the <span class="sphinx_js-type"> in the analyzer tests because it
     # makes a big mess.
     _add_span: bool
@@ -235,13 +235,13 @@ def from_directive(cls: type[R], directive: Directive, app: Sphinx) -> R:
         )
 
     def _set_type_xref_formatter(
-        self, formatter: Callable[[Config, TypeXRef, str | None], str] | None
+        self, formatter: Callable[[Config, TypeXRef], str] | None
     ) -> None:
         if formatter:
             self._type_xref_formatter = partial(formatter, self._app.config)
             return
 
-        def default_type_xref_formatter(xref: TypeXRef, _: str | None) -> str:
+        def default_type_xref_formatter(xref: TypeXRef) -> str:
             return xref.name
 
         self._type_xref_formatter = default_type_xref_formatter
@@ -453,11 +453,13 @@ def strs() -> Iterator[str]:
 
     def render_xref(self, s: TypeXRef, escape: bool = False) -> str:
         obj = None
-        kind = None
-        if isinstance(s, TypeXRefInternal | TypeXRefInternal):
+        if isinstance(s, TypeXRefInternal):
             obj = self.lookup_object(s.path)
-            kind = type(obj).__name__.lower()
-        result = self._type_xref_formatter(s, kind)
+            # Stick the kind on the xref so that the formatter will know what
+            # xref role to emit. I'm not sure how to compute this earlier. It's
+            # convenient to do it here.
+            s.kind = type(obj).__name__.lower()
+        result = self._type_xref_formatter(s)
         if escape:
             result = rst.escape(result)
         return result
diff --git a/tests/test_build_ts/source/docs/conf.py b/tests/test_build_ts/source/docs/conf.py
index 62b954c4..bd89766e 100644
--- a/tests/test_build_ts/source/docs/conf.py
+++ b/tests/test_build_ts/source/docs/conf.py
@@ -14,9 +14,9 @@
 from sphinx_js.ir import TypeXRef, TypeXRefInternal
 
 
-def ts_type_xref_formatter(config, xref: TypeXRef, kind: str) -> str:
+def ts_type_xref_formatter(config, xref: TypeXRef) -> str:
     if isinstance(xref, TypeXRefInternal):
         name = rst.escape(xref.name)
-        return f":js:{kind}:`{name}`"
+        return f":js:{xref.kind}:`{name}`"
     else:
         return xref.name
diff --git a/tests/test_renderers.py b/tests/test_renderers.py
index b234ca6a..e9fe7830 100644
--- a/tests/test_renderers.py
+++ b/tests/test_renderers.py
@@ -60,10 +60,10 @@ def test_render_description():
     )
 
 
-def ts_xref_formatter(config, xref, kind):
+def ts_xref_formatter(config, xref):
     if isinstance(xref, TypeXRefInternal):
         name = rst.escape(xref.name)
-        return f":js:{kind}:`{name}`"
+        return f":js:{xref.kind}:`{name}`"
     else:
         return xref.name
 
@@ -339,8 +339,12 @@ def test_render_xref(function_renderer: AutoFunctionRenderer):
     assert function_renderer.render_type([xref_external]) == "A"
     res = []
 
-    def xref_render(config, val, kind):
+    def xref_render(config, val):
         res.append([config, val])
+        kind = None
+        if isinstance(val, TypeXRefInternal):
+            kind = val.kind
+
         return f"{val.package}::{val.name}::{kind}"
 
     function_renderer._set_type_xref_formatter(xref_render)