diff --git a/test/functional/p2p_blocksonly.py b/test/functional/p2p_blocksonly.py
--- a/test/functional/p2p_blocksonly.py
+++ b/test/functional/p2p_blocksonly.py
@@ -65,42 +65,47 @@
             assert_equal(self.nodes[0].getmempoolinfo()['size'], 1)
 
         self.log.info(
-            'Check that txs from forcelay peers are not rejected and relayed to others')
-        self.log.info(
-            "Restarting node 0 with forcerelay permission and blocksonly")
+            'Check that txs from peers with relay-permission are not rejected'
+            ' and relayed to others')
+        self.log.info("Restarting node 0 with relay permission and blocksonly")
         self.restart_node(0,
                           ["-persistmempool=0",
-                           "-whitelist=127.0.0.1",
-                           "-whitelistforcerelay",
+                           "-whitelist=relay@127.0.0.1",
                            "-blocksonly"])
         assert_equal(self.nodes[0].getrawmempool(), [])
         first_peer = self.nodes[0].add_p2p_connection(P2PInterface())
         second_peer = self.nodes[0].add_p2p_connection(P2PInterface())
         peer_1_info = self.nodes[0].getpeerinfo()[0]
-        assert_equal(peer_1_info['whitelisted'], True)
-        assert_equal(
-            peer_1_info['permissions'], [
-                'noban', 'forcerelay', 'relay', 'mempool', 'download'])
+        assert_equal(peer_1_info['permissions'], ['relay'])
         peer_2_info = self.nodes[0].getpeerinfo()[1]
-        assert_equal(peer_2_info['whitelisted'], True)
-        assert_equal(
-            peer_2_info['permissions'], [
-                'noban', 'forcerelay', 'relay', 'mempool', 'download'])
+        assert_equal(peer_2_info['permissions'], ['relay'])
         assert_equal(
             self.nodes[0].testmempoolaccept(
                 [sigtx])[0]['allowed'], True)
         txid = self.nodes[0].testmempoolaccept([sigtx])[0]['txid']
 
         self.log.info(
-            'Check that the tx from forcerelay first_peer is relayed to others (ie.second_peer)')
+            'Check that the tx from first_peer with relay-permission is '
+            'relayed to others (ie.second_peer)')
         with self.nodes[0].assert_debug_log(["received getdata"]):
+            # Note that normally, first_peer would never send us transactions
+            # since we're a blocksonly node. By activating blocksonly, we
+            # explicitly tell our peers that they should not send us
+            # transactions, and Bitcoin ABC respects that choice and will not
+            # send transactions.
+            # But if, for some reason, first_peer decides to relay transactions
+            # to us anyway, we should relay them to second_peer since we gave
+            # relay permission to first_peer.
+            # See https://github.com/bitcoin/bitcoin/issues/19943 for details.
             first_peer.send_message(msg_tx(FromHex(CTransaction(), sigtx)))
             self.log.info(
-                'Check that the forcerelay peer is still connected after sending the transaction')
+                'Check that the peer with relay-permission is still connected'
+                ' after sending the transaction')
             assert_equal(first_peer.is_connected, True)
             second_peer.wait_for_tx(txid)
             assert_equal(self.nodes[0].getmempoolinfo()['size'], 1)
-        self.log.info("Forcerelay peer's transaction is accepted and relayed")
+        self.log.info(
+            "Relay-permission peer's transaction is accepted and relayed")
 
 
 if __name__ == '__main__':