diff --git a/jax/_src/scipy/fft.py b/jax/_src/scipy/fft.py
index a826d4746..a0050cc81 100644
--- a/jax/_src/scipy/fft.py
+++ b/jax/_src/scipy/fft.py
@@ -21,7 +21,7 @@ import math
 from jax import lax
 import jax.numpy as jnp
 from jax._src.util import canonicalize_axis
-from jax._src.numpy.util import promote_dtypes_complex
+from jax._src.numpy.util import promote_dtypes_complex, promote_dtypes_inexact
 from jax._src.typing import Array
 
 def _W4(N: int, k: Array) -> Array:
@@ -298,12 +298,12 @@ def idct(x: Array, type: int = 2, n: int | None = None,
                 [(0, n - x.shape[axis] if a == axis else 0, 0)
                  for a in range(x.ndim)])
   N = x.shape[axis]
-  x = x.astype(jnp.float32)
+  x, = promote_dtypes_inexact(x)
   if norm is None or norm == 'backward':
     x = _dct_ortho_norm(x, axis)
   x = _dct_ortho_norm(x, axis)
 
-  k = lax.expand_dims(jnp.arange(N, dtype=jnp.float32), [a for a in range(x.ndim) if a != axis])
+  k = lax.expand_dims(jnp.arange(N, dtype=x.dtype), [a for a in range(x.ndim) if a != axis])
   # everything is complex from here...
   w4 = _W4(N,k)
   x = x.astype(w4.dtype)
diff --git a/tests/scipy_fft_test.py b/tests/scipy_fft_test.py
index 6c549f5ed..a6fdd1b79 100644
--- a/tests/scipy_fft_test.py
+++ b/tests/scipy_fft_test.py
@@ -13,9 +13,12 @@
 # limitations under the License.
 import itertools
 
+import numpy as np
+
 from absl.testing import absltest
 
 import jax
+from jax._src import config
 from jax._src import test_util as jtu
 import jax.scipy.fft as jsp_fft
 import scipy.fft as osp_fft
@@ -117,5 +120,15 @@ class LaxBackedScipyFftTests(jtu.JaxTestCase):
                             tol=1e-4)
     self._CompileAndCheck(jnp_fn, args_maker, atol=1e-4)
 
+  def testIdctNormalizationPrecision(self):
+    # reported in https://github.com/jax-ml/jax/issues/23895
+    if not config.enable_x64.value:
+      raise self.skipTest("requires jax_enable_x64=true")
+    x = np.ones(3, dtype="float64")
+    n = 10
+    expected = osp_fft.idct(x, n=n, type=2)
+    actual = jsp_fft.idct(x, n=n, type=2)
+    self.assertArraysAllClose(actual, expected, atol=1e-14)
+
 if __name__ == "__main__":
     absltest.main(testLoader=jtu.JaxTestLoader())