diff --git a/test/functional/p2p_tx_download.py b/test/functional/p2p_tx_download.py
index ae1edec2f1..7a50f1e605 100755
--- a/test/functional/p2p_tx_download.py
+++ b/test/functional/p2p_tx_download.py
@@ -284,17 +284,22 @@ class TxDownloadTest(BitcoinTestFramework):
 
         # Run each test against new bitcoind instances, as setting mocktimes has long-term effects on when
         # the next trickle relay event happens.
-        for test in [self.test_in_flight_max, self.test_inv_block, self.test_tx_requests,
-                     self.test_rejects_filter_reset]:
+        for test, with_inbounds in [
+            (self.test_in_flight_max, True),
+            (self.test_inv_block, True),
+            (self.test_tx_requests, True),
+            (self.test_rejects_filter_reset, False),
+        ]:
             self.stop_nodes()
             self.start_nodes()
             self.connect_nodes(1, 0)
             # Setup the p2p connections
             self.peers = []
-            for node in self.nodes:
-                for _ in range(NUM_INBOUND):
-                    self.peers.append(node.add_p2p_connection(TestP2PConn()))
-            self.log.info("Nodes are setup with {} incoming connections each".format(NUM_INBOUND))
+            if with_inbounds:
+                for node in self.nodes:
+                    for _ in range(NUM_INBOUND):
+                        self.peers.append(node.add_p2p_connection(TestP2PConn()))
+                self.log.info("Nodes are setup with {} incoming connections each".format(NUM_INBOUND))
             test()