diff --git a/brainunit/math/_compat_numpy_array_creation.py b/brainunit/math/_compat_numpy_array_creation.py
index 32219a8..68873dc 100644
--- a/brainunit/math/_compat_numpy_array_creation.py
+++ b/brainunit/math/_compat_numpy_array_creation.py
@@ -498,6 +498,7 @@ def asarray(
   Convert the input to a quantity or array.
 
   If unit is provided, the input will be checked whether it has the same unit as the provided unit.
+  (If they have same dimension but different magnitude, the input will be converted to the provided unit.)
   If unit is not provided, the input will be converted to an array.
 
   Args:
@@ -513,9 +514,13 @@ def asarray(
     if unit is not None:
       assert isinstance(unit, Unit)
       fail_for_dimension_mismatch(a, unit, error_message="a and unit have to have the same units.")
-      return Quantity(jnp.asarray(a.value, dtype=dtype, order=order), dim=a.dim)
+      if a.dim == unit:
+        return a
+      else:
+        # Convert to the magnitude of the provided unit
+        return Quantity(a.value / unit.value, dim=unit)
     else:
-      return Quantity(jnp.asarray(a.value, dtype=dtype, order=order), dim=a.dim)
+      return Quantity(jnp.asarray(a.value, dtype=dtype, order=order) / unit.value, dim=a.dim)
   elif isinstance(a, (jax.Array, np.ndarray)):
     if unit is not None:
       assert isinstance(unit, Unit)
diff --git a/brainunit/math/_compat_numpy_test.py b/brainunit/math/_compat_numpy_test.py
index 2e73403..0bd8c10 100644
--- a/brainunit/math/_compat_numpy_test.py
+++ b/brainunit/math/_compat_numpy_test.py
@@ -32,7 +32,7 @@
 def assert_quantity(q, values, unit):
   values = jnp.asarray(values)
   if isinstance(q, Quantity):
-    assert q.dim == unit.dim, f"Unit mismatch: {q.dim} != {unit}"
+    assert q.dim == unit.dim or q.dim == unit, f"Unit mismatch: {q.dim} != {unit}"
     assert jnp.allclose(q.value, values), f"Values do not match: {q.value} != {values}"
   else:
     assert jnp.allclose(q, values), f"Values do not match: {q} != {values}"
@@ -162,6 +162,10 @@ def test_asarray(self):
     result_q = bu.math.asarray([1, 2, 3], unit=bu.second)
     assert_quantity(result_q, jnp.asarray([1, 2, 3]), bu.second)
 
+    q1 = [1, 2, 3] * bu.second
+    result_q = bu.math.asarray(q1, unit=bu.ms)
+    assert_quantity(result_q, jnp.asarray([1, 2, 3]) * 1000, bu.ms)
+
   def test_arange(self):
     result = bu.math.arange(5)
     self.assertEqual(result.shape, (5,))
@@ -171,7 +175,7 @@ def test_arange(self):
     assert_quantity(result_q, jnp.arange(5, step=1), bu.second)
 
     result_q = bu.math.arange(3 * bu.second, 9 * bu.second, 1 * bu.second)
-    assert_quantity(result_q, jnp.arange(3, 9, 1), bu.second)
+    assert_quantity(result_q, jnp.arange(3, 9, 1), bu.ms)
 
   def test_linspace(self):
     result = bu.math.linspace(0, 10, 5)