diff --git a/xarray/namedarray/_array_api/_creation_functions.py b/xarray/namedarray/_array_api/_creation_functions.py
index 1ea8418b49c..196c5c9b9f0 100644
--- a/xarray/namedarray/_array_api/_creation_functions.py
+++ b/xarray/namedarray/_array_api/_creation_functions.py
@@ -6,7 +6,8 @@
 
 from xarray.namedarray._array_api._utils import (
     _get_data_namespace,
-    _maybe_default_namespace,
+    # _maybe_default_namespace,
+    _get_namespace_dtype,
 )
 from xarray.namedarray._typing import (
     Default,
@@ -53,7 +54,7 @@ def arange(
     dtype: _DType | None = None,
     device: _Device | None = None,
 ) -> NamedArray[_ShapeType, _DType]:
-    xp = _maybe_default_namespace()
+    xp = _get_namespace_dtype(dtype)
     _data = xp.arange(start, stop=stop, step=step, dtype=dtype, device=device)
     _dims = _infer_dims(_data.shape)
     return NamedArray(_dims, _data)
@@ -159,7 +160,7 @@ def asarray(
 def empty(
     shape: _ShapeType, *, dtype: _DType | None = None, device: _Device | None = None
 ) -> NamedArray[_ShapeType, _DType]:
-    xp = _maybe_default_namespace()
+    xp = _get_namespace_dtype(dtype)
     _data = xp.empty(shape, dtype=dtype, device=device)
     _dims = _infer_dims(_data.shape)
     return NamedArray(_dims, _data)
@@ -188,8 +189,8 @@ def eye(
     dtype: _DType | None = None,
     device: _Device | None = None,
 ) -> NamedArray[_ShapeType, _DType]:
-    xp = _maybe_default_namespace()
-    _data = xp.eye(n_rows, M=n_cols, k=k, dtype=dtype)
+    xp = _get_namespace_dtype(dtype)
+    _data = xp.eye(n_rows, n_cols, k=k, dtype=dtype, device=device)
     _dims = _infer_dims(_data.shape)
     return NamedArray(_dims, _data)
 
@@ -201,7 +202,7 @@ def full(
     dtype: _DType | None = None,
     device: _Device | None = None,
 ) -> NamedArray[_ShapeType, _DType]:
-    xp = _maybe_default_namespace()
+    xp = _get_namespace_dtype(dtype)
     _data = xp.full(shape, fill_value, dtype=dtype, device=device)
     _dims = _infer_dims(_data.shape)
     return NamedArray(_dims, _data)
@@ -232,7 +233,7 @@ def linspace(
     device: _Device | None = None,
     endpoint: bool = True,
 ) -> NamedArray[_ShapeType, _DType]:
-    xp = _maybe_default_namespace()
+    xp = _get_namespace_dtype(dtype)
     _data = xp.linspace(
         start,
         stop,
diff --git a/xarray/namedarray/_array_api/_utils.py b/xarray/namedarray/_array_api/_utils.py
index 8a296ee552e..018b84ca54c 100644
--- a/xarray/namedarray/_array_api/_utils.py
+++ b/xarray/namedarray/_array_api/_utils.py
@@ -28,6 +28,9 @@ def _get_data_namespace(x: NamedArray[Any, Any]) -> ModuleType:
     return _maybe_default_namespace()
 
 
-def _get_namespace_dtype(dtype: _dtype) -> ModuleType:
+def _get_namespace_dtype(dtype: _dtype | None = None) -> ModuleType:
+    if dtype is None:
+        return _maybe_default_namespace()
+
     xp = __import__(dtype.__module__)
     return xp