diff --git a/freqtrade/commands/optimize_commands.py b/freqtrade/commands/optimize_commands.py
index a2d1b4601..2fc605926 100644
--- a/freqtrade/commands/optimize_commands.py
+++ b/freqtrade/commands/optimize_commands.py
@@ -17,10 +17,15 @@ def setup_optimize_configuration(args: Dict[str, Any], method: RunMode) -> Dict[
     """
     config = setup_utils_configuration(args, method)
 
-    if method == RunMode.BACKTEST:
-        if config['stake_amount'] == constants.UNLIMITED_STAKE_AMOUNT:
-            raise DependencyException('stake amount could not be "%s" for backtesting' %
-                                      constants.UNLIMITED_STAKE_AMOUNT)
+    no_unlimited_runmodes = {
+        RunMode.BACKTEST: 'backtesting',
+        RunMode.HYPEROPT: 'hyperoptimization',
+    }
+    if (method in no_unlimited_runmodes.keys() and
+            config['stake_amount'] == constants.UNLIMITED_STAKE_AMOUNT):
+        raise DependencyException(
+            f'The value of `stake_amount` cannot be set as "{constants.UNLIMITED_STAKE_AMOUNT}" '
+            f'for {no_unlimited_runmodes[method]}')
 
     return config
 
diff --git a/tests/optimize/test_backtesting.py b/tests/optimize/test_backtesting.py
index 96855dc9d..702337463 100644
--- a/tests/optimize/test_backtesting.py
+++ b/tests/optimize/test_backtesting.py
@@ -241,7 +241,7 @@ def test_setup_optimize_configuration_unlimited_stake_amount(mocker, default_con
         '--strategy', 'DefaultStrategy',
     ]
 
-    with pytest.raises(DependencyException, match=r'.*stake amount.*'):
+    with pytest.raises(DependencyException, match=r'.`stake_amount`.*'):
         setup_optimize_configuration(get_args(args), RunMode.BACKTEST)
 
 
diff --git a/tests/optimize/test_hyperopt.py b/tests/optimize/test_hyperopt.py
index 0406157f6..c0bddd085 100644
--- a/tests/optimize/test_hyperopt.py
+++ b/tests/optimize/test_hyperopt.py
@@ -10,10 +10,11 @@ import pytest
 from arrow import Arrow
 from filelock import Timeout
 
+from freqtrade import constants
 from freqtrade.commands.optimize_commands import (setup_optimize_configuration,
                                                   start_hyperopt)
 from freqtrade.data.history import load_data
-from freqtrade.exceptions import OperationalException
+from freqtrade.exceptions import DependencyException, OperationalException
 from freqtrade.optimize.default_hyperopt import DefaultHyperOpt
 from freqtrade.optimize.default_hyperopt_loss import DefaultHyperOptLoss
 from freqtrade.optimize.hyperopt import Hyperopt
@@ -158,6 +159,21 @@ def test_setup_hyperopt_configuration_with_arguments(mocker, default_conf, caplo
     assert log_has('Parameter --print-all detected ...', caplog)
 
 
+def test_setup_hyperopt_configuration_unlimited_stake_amount(mocker, default_conf, caplog) -> None:
+    default_conf['stake_amount'] = constants.UNLIMITED_STAKE_AMOUNT
+
+    patched_configuration_load_config_file(mocker, default_conf)
+
+    args = [
+        'hyperopt',
+        '--config', 'config.json',
+        '--hyperopt', 'DefaultHyperOpt',
+    ]
+
+    with pytest.raises(DependencyException, match=r'.`stake_amount`.*'):
+        setup_optimize_configuration(get_args(args), RunMode.HYPEROPT)
+
+
 def test_hyperoptresolver(mocker, default_conf, caplog) -> None:
     patched_configuration_load_config_file(mocker, default_conf)