diff --git a/python/triton/language/random.py b/python/triton/language/random.py
index d5691bb72..c95eac9fc 100644
--- a/python/triton/language/random.py
+++ b/python/triton/language/random.py
@@ -77,13 +77,23 @@ def randint4x(seed, offset, n_rounds: tl.constexpr = N_ROUNDS_DEFAULT):
 # rand
 # -------------------
 
+# @triton.jit
+# def uint32_to_uniform_float(x):
+#     """
+#     Numerically stable function to convert a random uint32 into a random float uniformly sampled in [0, 1).
+#     """
+#     two_to_the_minus_32: tl.constexpr = 2.328306e-10
+#     return x * two_to_the_minus_32
+
 @triton.jit
 def uint32_to_uniform_float(x):
     """
     Numerically stable function to convert a random uint32 into a random float uniformly sampled in [0, 1).
     """
-    two_to_the_minus_32: tl.constexpr = 2.328306e-10
-    return x * two_to_the_minus_32
+    x = x.to(tl.int32, bitcast=True)
+    max = 4.656613e-10  # = 1/MAX_INT = 1/2147483647.
+    x = tl.where(x < 0, -x - 1, x)
+    return x * max
 
 
 @triton.jit