diff --git a/src/textual/widgets/_data_table.py b/src/textual/widgets/_data_table.py
index 1e0673aff..c9adfe4db 100644
--- a/src/textual/widgets/_data_table.py
+++ b/src/textual/widgets/_data_table.py
@@ -116,7 +116,6 @@ class Row:
     """Table row."""
 
     key: RowKey
-    index: int
     height: int
     y: int
     cell_renderables: list[RenderableType] = field(default_factory=list)
@@ -607,7 +606,7 @@ class DataTable(ScrollView, Generic[CellType], can_focus=True):
             column.key: cell
             for column, cell in zip_longest(self._ordered_columns, cells)
         }
-        self.rows[row_key] = Row(row_key, row_index, height, self._line_no)
+        self.rows[row_key] = Row(row_key, height, self._line_no)
 
         # for line_no in range(height):
         #     self._y_offsets.append((row_key, line_no))
diff --git a/tests/test_data_table.py b/tests/test_data_table.py
index 1566b2237..7af3b1c70 100644
--- a/tests/test_data_table.py
+++ b/tests/test_data_table.py
@@ -138,9 +138,6 @@ async def test_add_rows():
         assert table.row_count == len(ROWS)
         # Each key can be used to fetch a row from the DataTable
         assert all(key in table.data for key in row_keys)
-        # Ensure the keys are returned *in order*, and there's one for each row
-        for key, row in zip(row_keys, range(len(ROWS))):
-            assert table.rows[key].index == row
 
 
 async def test_add_rows_user_defined_keys():
@@ -168,7 +165,7 @@ async def test_add_rows_user_defined_keys():
         third_row = {key_a: ROWS[2][0], key_b: ROWS[2][1]}
         assert table.data[auto_key] == third_row
 
-        first_row = Row(algernon_key, index=0, height=1, y=0)
+        first_row = Row(algernon_key, height=1, y=0)
         assert table.rows[algernon_key] == first_row
         assert table.rows["algernon"] == first_row