diff --git a/dask_expr/_core.py b/dask_expr/_core.py
index 301c26ab..0f80da1b 100644
--- a/dask_expr/_core.py
+++ b/dask_expr/_core.py
@@ -442,11 +442,13 @@ def lower_completely(self) -> Expr:
     def _lower(self):
         return
 
+    @functools.cached_property
+    def _funcname(self):
+        return funcname(type(self)).lower()
+
     @functools.cached_property
     def _name(self):
-        return (
-            funcname(type(self)).lower() + "-" + _tokenize_deterministic(*self.operands)
-        )
+        return self._funcname + "-" + _tokenize_deterministic(*self.operands)
 
     @property
     def _meta(self):
diff --git a/dask_expr/io/io.py b/dask_expr/io/io.py
index ffff71a8..918fab53 100644
--- a/dask_expr/io/io.py
+++ b/dask_expr/io/io.py
@@ -103,7 +103,7 @@ class FusedIO(BlockwiseIO):
     @functools.cached_property
     def _name(self):
         return (
-            funcname(type(self.operand("_expr"))).lower()
+            self.operand("_expr")._funcname
             + "-fused-"
             + _tokenize_deterministic(*self.operands)
         )
diff --git a/dask_expr/io/parquet.py b/dask_expr/io/parquet.py
index 814d54fb..a53eac71 100644
--- a/dask_expr/io/parquet.py
+++ b/dask_expr/io/parquet.py
@@ -631,12 +631,18 @@ def columns(self):
         else:
             return _convert_to_list(columns_operand)
 
+    @cached_property
+    def _funcname(self):
+        return "read_parquet"
+
     @cached_property
     def _name(self):
         return (
-            funcname(type(self)).lower()
+            self._funcname
             + "-"
-            + _tokenize_deterministic(self.checksum, *self.operands[:-1])
+            + _tokenize_deterministic(
+                funcname(type(self)), self.checksum, *self.operands[:-1]
+            )
         )
 
     @property