diff --git a/tests/test_integration.py b/tests/test_integration.py
index dd3488f81..77ed822d1 100644
--- a/tests/test_integration.py
+++ b/tests/test_integration.py
@@ -485,7 +485,7 @@ def test_dca_exiting(default_conf_usdt, ticker_usdt, fee, mocker, caplog) -> Non
     assert len(trade.orders) == 1
     assert pytest.approx(trade.stake_amount) == 60
     assert pytest.approx(trade.amount) == 30.0
-    assert log_has_re("Remaining amount of 1.6.* would be too small.", caplog)
+    assert log_has_re("Remaining amount of 1.6.* would be smaller than the minimum of 10.", caplog)
 
     freqtrade.strategy.adjust_trade_position = MagicMock(return_value=-20)
 
@@ -504,9 +504,21 @@ def test_dca_exiting(default_conf_usdt, ticker_usdt, fee, mocker, caplog) -> Non
     freqtrade.strategy.adjust_trade_position = MagicMock(return_value=-50)
     freqtrade.process()
     assert log_has_re("Adjusting amount to trade.amount as it is higher.*", caplog)
-    assert log_has_re("Remaining amount of 0.0 would be too small.", caplog)
+    assert log_has_re("Remaining amount of 0.0 would be smaller than the minimum of 10.", caplog)
     trade = Trade.get_trades().first()
     assert len(trade.orders) == 2
     assert trade.orders[-1].ft_order_side == 'sell'
     assert pytest.approx(trade.stake_amount) == 40.198
     assert trade.is_open
+
+    # use amount that would trunc to 0.0 once selling
+    mocker.patch("freqtrade.exchange.Exchange.amount_to_contract_precision",
+                 lambda s, p, v: round(v, 1))
+    freqtrade.strategy.adjust_trade_position = MagicMock(return_value=-0.01)
+    freqtrade.process()
+    trade = Trade.get_trades().first()
+    assert len(trade.orders) == 2
+    assert trade.orders[-1].ft_order_side == 'sell'
+    assert pytest.approx(trade.stake_amount) == 40.198
+    assert trade.is_open
+    assert log_has_re('Amount to sell is 0.0 due to exchange limits - not selling.', caplog)