diff --git a/src/policy/policy.h b/src/policy/policy.h
index dab39aa4f8b..fe8006729bb 100644
--- a/src/policy/policy.h
+++ b/src/policy/policy.h
@@ -29,7 +29,7 @@ static constexpr unsigned int DEFAULT_BLOCK_RESERVED_WEIGHT{8000};
  * Setting a lower value is prevented at startup. */
 static constexpr unsigned int MINIMUM_BLOCK_RESERVED_WEIGHT{2000};
 /** Default for -blockmintxfee, which sets the minimum feerate for a transaction in blocks created by mining code **/
-static constexpr unsigned int DEFAULT_BLOCK_MIN_TX_FEE{1000};
+static constexpr unsigned int DEFAULT_BLOCK_MIN_TX_FEE{1};
 /** The maximum weight for transactions we're willing to relay/mine */
 static constexpr int32_t MAX_STANDARD_TX_WEIGHT{400000};
 /** The minimum non-witness size for transactions we're willing to relay/mine: one larger than 64  */
diff --git a/src/test/miner_tests.cpp b/src/test/miner_tests.cpp
index 5bfcde77183..10f8be4b324 100644
--- a/src/test/miner_tests.cpp
+++ b/src/test/miner_tests.cpp
@@ -12,6 +12,7 @@
 #include <node/miner.h>
 #include <policy/policy.h>
 #include <test/util/random.h>
+#include <test/util/transaction_utils.h>
 #include <test/util/txmempool.h>
 #include <txmempool.h>
 #include <uint256.h>
@@ -210,6 +211,9 @@ void MinerTestingSetup::TestPackageSelection(const CScript& scriptPubKey, const
     tx.vout.resize(2);
     tx.vout[0].nValue = 5000000000LL - 100000000;
     tx.vout[1].nValue = 100000000; // 1BTC output
+    // Increase size to avoid rounding errors: when the feerate is extremely small (i.e. 1sat/kvB), evaluating the fee
+    // at a smaller transaction size gives us a rounded value of 0.
+    BulkTransaction(tx, 4000);
     Txid hashFreeTx2 = tx.GetHash();
     AddToMempool(tx_mempool, entry.Fee(0).SpendsCoinbase(true).FromTx(tx));
 
diff --git a/test/functional/mining_basic.py b/test/functional/mining_basic.py
index c354e2c71c4..72f92c85a09 100755
--- a/test/functional/mining_basic.py
+++ b/test/functional/mining_basic.py
@@ -49,7 +49,7 @@ MAX_FUTURE_BLOCK_TIME = 2 * 3600
 MAX_TIMEWARP = 600
 VERSIONBITS_TOP_BITS = 0x20000000
 VERSIONBITS_DEPLOYMENT_TESTDUMMY_BIT = 28
-DEFAULT_BLOCK_MIN_TX_FEE = 1000  # default `-blockmintxfee` setting [sat/kvB]
+DEFAULT_BLOCK_MIN_TX_FEE = 1 # default `-blockmintxfee` setting [sat/kvB]
 
 
 def assert_template(node, block, expect, rehash=True):
@@ -100,7 +100,7 @@ class MiningTest(BitcoinTestFramework):
         node = self.nodes[0]
 
         # test default (no parameter), zero and a bunch of arbitrary blockmintxfee rates [sat/kvB]
-        for blockmintxfee_sat_kvb in (DEFAULT_BLOCK_MIN_TX_FEE, 0, 1, 5, 10, 50, 100, 500, 2500, 5000, 21000, 333333, 2500000):
+        for blockmintxfee_sat_kvb in (DEFAULT_BLOCK_MIN_TX_FEE, 0, 5, 10, 50, 100, 500, 1000, 2500, 5000, 21000, 333333, 2500000):
             blockmintxfee_btc_kvb = blockmintxfee_sat_kvb / Decimal(COIN)
             if blockmintxfee_sat_kvb == DEFAULT_BLOCK_MIN_TX_FEE:
                 self.log.info(f"-> Default -blockmintxfee setting ({blockmintxfee_sat_kvb} sat/kvB)...")