diff --git a/quantecon/random/utilities.py b/quantecon/random/utilities.py
index c2d68d23d..3bc12b87e 100644
--- a/quantecon/random/utilities.py
+++ b/quantecon/random/utilities.py
@@ -4,7 +4,7 @@
 """
 
 import numpy as np
-from numba import jit, guvectorize, generated_jit, types
+from numba import guvectorize, generated_jit, types
 
 from ..util import check_random_state, searchsorted
 
@@ -98,7 +98,6 @@ def _probvec(r, out):
     )(_probvec)
 
 
-@jit
 def sample_without_replacement(n, k, num_trials=None, random_state=None):
     """
     Randomly choose k integers without replacement from 0, ..., n-1.
@@ -144,26 +143,30 @@ def sample_without_replacement(n, k, num_trials=None, random_state=None):
     if k > n:
         raise ValueError('k must be smaller than or equal to n')
 
-    m = 1 if num_trials is None else num_trials
+    size = k if num_trials is None else (num_trials, k)
 
     random_state = check_random_state(random_state)
-    r = random_state.random_sample(size=(m, k))
+    r = random_state.random_sample(size=size)
+    result = _sample_without_replacement(n, r)
+
+    return result
+
+
+@guvectorize(['(i8, f8[:], i8[:])'], '(),(k)->(k)', nopython=True, cache=True)
+def _sample_without_replacement(n, r, out):
+    """
+    Main body of `sample_without_replacement`. To be complied as a ufunc
+    by guvectorize of Numba.
+
+    """
+    k = r.shape[0]
 
     # Logic taken from random.sample in the standard library
-    result = np.empty((m, k), dtype=int)
-    pool = np.empty(n, dtype=int)
-    for i in range(m):
-        for j in range(n):
-            pool[j] = j
-        for j in range(k):
-            idx = int(np.floor(r[i, j] * (n-j)))  # np.floor returns a float
-            result[i, j] = pool[idx]
-            pool[idx] = pool[n-j-1]
-
-    if num_trials is None:
-        return result[0]
-    else:
-        return result
+    pool = np.arange(n)
+    for j in range(k):
+        idx = int(np.floor(r[j] * (n-j)))  # np.floor returns a float
+        out[j] = pool[idx]
+        pool[idx] = pool[n-j-1]
 
 
 @generated_jit(nopython=True)