diff --git a/pandas/core/reshape/melt.py b/pandas/core/reshape/melt.py
index 8ed8dd1466475..df9112faa2a47 100644
--- a/pandas/core/reshape/melt.py
+++ b/pandas/core/reshape/melt.py
@@ -128,15 +128,12 @@ def melt(
         id_data = frame.pop(col)
         if is_extension_array_dtype(id_data):
             if K > 0:
-                id_data = concat([id_data] * K, ignore_index=True)
+                mdata[col] = concat([id_data] * K, ignore_index=True)
             else:
                 # We can't concat empty list. (GH 46044)
-                id_data = type(id_data)([], name=id_data.name, dtype=id_data.dtype)
+                mdata[col] = type(id_data)([], name=id_data.name, dtype=id_data.dtype)
         else:
-            # error: Incompatible types in assignment (expression has type
-            # "ndarray[Any, dtype[Any]]", variable has type "Series")
-            id_data = np.tile(id_data._values, K)  # type: ignore[assignment]
-        mdata[col] = id_data
+            mdata[col] = np.tile(id_data._values, K)
 
     mcolumns = id_vars + var_name + [value_name]