diff --git a/array-api-tests-xfails.txt b/array-api-tests-xfails.txt
index 7e539db..68c7fdb 100644
--- a/array-api-tests-xfails.txt
+++ b/array-api-tests-xfails.txt
@@ -1,7 +1,3 @@
-# copy=False is not yet implemented
-# https://github.com/numpy/numpy/pull/25168
-array_api_tests/test_creation_functions.py::test_asarray_arrays
-
 # Known special case issue in NumPy. Not worth working around here
 # https://github.com/numpy/numpy/issues/21213
 array_api_tests/test_special_cases.py::test_iop[__ipow__(x1_i is -infinity and x2_i > 0 and not (x2_i.is_integer() and x2_i % 2 == 1)) -> +infinity]
diff --git a/array_api_strict/_creation_functions.py b/array_api_strict/_creation_functions.py
index 90dc4e0..ad7ec82 100644
--- a/array_api_strict/_creation_functions.py
+++ b/array_api_strict/_creation_functions.py
@@ -11,7 +11,6 @@
         NestedSequence,
         SupportsBufferProtocol,
     )
-    from collections.abc import Sequence
 from ._dtypes import _DType, _all_dtypes
 
 import numpy as np
@@ -22,6 +21,12 @@ def _check_valid_dtype(dtype):
     if dtype not in (None,) + _all_dtypes:
         raise ValueError("dtype must be one of the supported dtypes")
 
+def _supports_buffer_protocol(obj):
+    try:
+        memoryview(obj)
+    except TypeError:
+        return False
+    return True
 
 def asarray(
     obj: Union[
@@ -36,7 +41,7 @@ def asarray(
     *,
     dtype: Optional[Dtype] = None,
     device: Optional[Device] = None,
-    copy: Optional[Union[bool, np._CopyMode]] = None,
+    copy: Optional[bool] = None,
 ) -> Array:
     """
     Array API compatible wrapper for :py:func:`np.asarray <numpy.asarray>`.
@@ -53,20 +58,37 @@ def asarray(
         _np_dtype = dtype._np_dtype
     if device not in [CPU_DEVICE, None]:
         raise ValueError(f"Unsupported device {device!r}")
-    if copy in (False, np._CopyMode.IF_NEEDED):
-        # Note: copy=False is not yet implemented in np.asarray
-        raise NotImplementedError("copy=False is not yet implemented")
+
+    if np.__version__[0] < '2':
+        if copy is False:
+            # Note: copy=False is not yet implemented in np.asarray for
+            # NumPy 1
+
+            # Work around it by creating the new array and seeing if NumPy
+            # copies it.
+            if isinstance(obj, Array):
+                new_array = np.array(obj._array, copy=copy, dtype=_np_dtype)
+                if new_array is not obj._array:
+                    raise ValueError("Unable to avoid copy while creating an array from given array.")
+                return Array._new(new_array)
+            elif _supports_buffer_protocol(obj):
+                # Buffer protocol will always support no-copy
+                return Array._new(np.array(obj, copy=copy, dtype=_np_dtype))
+            else:
+                # No-copy is unsupported for Python built-in types.
+                raise ValueError("Unable to avoid copy while creating an array from given object.")
+
+        if copy is None:
+            # NumPy 1 treats copy=False the same as the standard copy=None
+            copy = False
+
     if isinstance(obj, Array):
-        if dtype is not None and obj.dtype != dtype:
-            copy = True
-        if copy in (True, np._CopyMode.ALWAYS):
-            return Array._new(np.array(obj._array, copy=True, dtype=_np_dtype))
-        return obj
+        return Array._new(np.array(obj._array, copy=copy, dtype=_np_dtype))
     if dtype is None and isinstance(obj, int) and (obj > 2 ** 64 or obj < -(2 ** 63)):
         # Give a better error message in this case. NumPy would convert this
         # to an object array. TODO: This won't handle large integers in lists.
         raise OverflowError("Integer out of bounds for array dtypes")
-    res = np.asarray(obj, dtype=_np_dtype)
+    res = np.array(obj, dtype=_np_dtype, copy=copy)
     return Array._new(res)
 
 
diff --git a/array_api_strict/tests/test_creation_functions.py b/array_api_strict/tests/test_creation_functions.py
index ee022c0..78d4c80 100644
--- a/array_api_strict/tests/test_creation_functions.py
+++ b/array_api_strict/tests/test_creation_functions.py
@@ -50,19 +50,49 @@ def test_asarray_copy():
     a[0] = 0
     assert all(b[0] == 1)
     assert all(a[0] == 0)
+
     a = asarray([1])
-    b = asarray(a, copy=np._CopyMode.ALWAYS)
+    b = asarray(a, copy=False)
     a[0] = 0
-    assert all(b[0] == 1)
-    assert all(a[0] == 0)
+    assert all(b[0] == 0)
+
+    a = asarray([1])
+    assert_raises(ValueError, lambda: asarray(a, copy=False, dtype=float64))
+
+    a = asarray([1])
+    b = asarray(a, copy=None)
+    a[0] = 0
+    assert all(b[0] == 0)
+
     a = asarray([1])
-    b = asarray(a, copy=np._CopyMode.NEVER)
+    b = asarray(a, dtype=float64, copy=None)
+    a[0] = 0
+    assert all(b[0] == 1.0)
+
+    # Python built-in types
+    for obj in [True, 0, 0.0, 0j, [0], [[0]]]:
+        asarray(obj, copy=True) # No error
+        asarray(obj, copy=None) # No error
+        assert_raises(ValueError, lambda: asarray(obj, copy=False))
+
+    # Buffer protocol
+    a = np.array([1])
+    b = asarray(a, copy=True)
+    assert isinstance(b, Array)
+    a[0] = 0
+    assert all(b[0] == 1)
+
+    a = np.array([1])
+    b = asarray(a, copy=False)
+    assert isinstance(b, Array)
     a[0] = 0
     assert all(b[0] == 0)
-    assert_raises(NotImplementedError, lambda: asarray(a, copy=False))
-    assert_raises(NotImplementedError,
-                  lambda: asarray(a, copy=np._CopyMode.IF_NEEDED))
 
+    a = np.array([1])
+    b = asarray(a, copy=None)
+    assert isinstance(b, Array)
+    a[0] = 0
+    assert all(b[0] == 0)
 
 def test_arange_errors():
     arange(1, device=CPU_DEVICE)  # Doesn't error