diff --git a/test/functional/p2p_leak.py b/test/functional/p2p_leak.py
index 71d5ca92b38..f1538e8ac72 100755
--- a/test/functional/p2p_leak.py
+++ b/test/functional/p2p_leak.py
@@ -29,6 +29,8 @@ from test_framework.util import (
     assert_greater_than_or_equal,
 )
 
+PEER_TIMEOUT = 3
+
 
 class LazyPeer(P2PInterface):
     def __init__(self):
@@ -98,7 +100,7 @@ class P2PVersionStore(P2PInterface):
 class P2PLeakTest(BitcoinTestFramework):
     def set_test_params(self):
         self.num_nodes = 1
-        self.extra_args = [['-peertimeout=4']]
+        self.extra_args = [[f"-peertimeout={PEER_TIMEOUT}"]]
 
     def create_old_version(self, nversion):
         old_version_msg = msg_version()
@@ -134,7 +136,7 @@ class P2PLeakTest(BitcoinTestFramework):
         self.nodes[0].generate(nblocks=1)
 
         # Give the node enough time to possibly leak out a message
-        time.sleep(5)
+        time.sleep(PEER_TIMEOUT + 2)
 
         # Make sure only expected messages came in
         assert not no_version_idle_peer.unexpected_msg