diff --git a/qiskit/transpiler/preset_passmanagers/level1.py b/qiskit/transpiler/preset_passmanagers/level1.py
index c4b418ede221..45d615e74ab9 100644
--- a/qiskit/transpiler/preset_passmanagers/level1.py
+++ b/qiskit/transpiler/preset_passmanagers/level1.py
@@ -119,7 +119,7 @@ def _swap_condition(property_set):
     if routing_method == 'basic':
         _swap += [BasicSwap(coupling_map)]
     elif routing_method == 'stochastic':
-        _swap += [StochasticSwap(coupling_map, trials=50, seed=seed_transpiler)]
+        _swap += [StochasticSwap(coupling_map, trials=20, seed=seed_transpiler)]
     elif routing_method == 'lookahead':
         _swap += [LookaheadSwap(coupling_map, search_depth=4, search_width=4)]
     else:
diff --git a/qiskit/transpiler/preset_passmanagers/level2.py b/qiskit/transpiler/preset_passmanagers/level2.py
index 00684039b929..26374142de04 100644
--- a/qiskit/transpiler/preset_passmanagers/level2.py
+++ b/qiskit/transpiler/preset_passmanagers/level2.py
@@ -114,7 +114,7 @@ def _swap_condition(property_set):
     if routing_method == 'basic':
         _swap += [BasicSwap(coupling_map)]
     elif routing_method == 'stochastic':
-        _swap += [StochasticSwap(coupling_map, trials=100, seed=seed_transpiler)]
+        _swap += [StochasticSwap(coupling_map, trials=20, seed=seed_transpiler)]
     elif routing_method == 'lookahead':
         _swap += [LookaheadSwap(coupling_map, search_depth=5, search_width=5)]
     else: