diff --git a/test/functional/p2p_tx_privacy.py b/test/functional/p2p_tx_privacy.py
index e674f6c3eb..271be526d2 100755
--- a/test/functional/p2p_tx_privacy.py
+++ b/test/functional/p2p_tx_privacy.py
@@ -20,6 +20,8 @@
 5. tx_originator sends tx2
 6. We check that only tx2 is announced on the spy interface
 """
+from decimal import Decimal
+
 from test_framework.messages import (
     msg_wtxidrelay,
     msg_verack,
@@ -59,14 +61,14 @@ def run_test(self):
         spy.wait_for_verack()
 
         # tx_originator sends tx1
-        tx1 = self.wallet.create_self_transfer()["tx"]
+        tx1 = self.wallet.create_self_transfer(fee_rate=Decimal("0.004"))["tx"]
         tx_originator.send_and_ping(msg_tx(tx1))
 
         # Spy sends the verack
         spy.send_and_ping(msg_verack())
 
         # tx_originator sends tx2
-        tx2 = self.wallet.create_self_transfer()["tx"]
+        tx2 = self.wallet.create_self_transfer(fee_rate=Decimal("0.004"))["tx"]
         tx_originator.send_and_ping(msg_tx(tx2))
 
         # Spy should only get an inv for the second transaction as the first
diff --git a/test/functional/wallet_basic.py b/test/functional/wallet_basic.py
index 139bfb4555..965609ce3b 100755
--- a/test/functional/wallet_basic.py
+++ b/test/functional/wallet_basic.py
@@ -800,7 +800,7 @@ def test_chain_listunspent(self):
         watch_wallet.importaddress(self.wallet.get_address())
 
         # DEFAULT_ANCESTOR_LIMIT transactions off a confirmed tx should be fine
-        chain = self.wallet.create_self_transfer_chain(chain_length=DEFAULT_ANCESTOR_LIMIT)
+        chain = self.wallet.create_self_transfer_chain(chain_length=DEFAULT_ANCESTOR_LIMIT, fee_rate=Decimal("0.004"))
         ancestor_vsize = 0
         ancestor_fees = Decimal(0)