diff --git a/tests/conftest.py b/tests/conftest.py
index abd15a6a1..93d34fe18 100644
--- a/tests/conftest.py
+++ b/tests/conftest.py
@@ -169,10 +169,12 @@ def generate_trades_history(n_rows, start_date: datetime | None = None, days=5):
     return df
 
 
-def generate_test_data(timeframe: str, size: int, start: str = "2020-07-05", random_seed=42):
+def generate_test_data(
+    timeframe: str, size: int, start: str = "2020-07-05", random_seed=42, base=20
+):
     np.random.seed(random_seed)
 
-    base = np.random.normal(20, 2, size=size)
+    base = np.random.normal(base, 2, size=size)
     if timeframe == "1y":
         date = pd.date_range(start, periods=size, freq="1YS", tz="UTC")
     elif timeframe == "1M":
diff --git a/tests/util/test_historic_wallets_migration.py b/tests/util/test_historic_wallets_migration.py
index eacdb8889..e5f40bb8f 100644
--- a/tests/util/test_historic_wallets_migration.py
+++ b/tests/util/test_historic_wallets_migration.py
@@ -204,11 +204,11 @@ def test_migrate_wallet_history_with_multiple_pairs(default_conf_usdt, fee, time
     candle_type = default_conf_usdt.get("candle_type_def", CandleType.SPOT)
     ohlcv_data = {}
     ohlcv_data[("ETH/USDT", "1d", candle_type)] = generate_test_data(
-        "1d", size=20, start=bot_start.strftime("%Y-%m-%d")
+        "1d", size=20, start=bot_start.strftime("%Y-%m-%d"), base=1500
     )
 
     ohlcv_data[("BTC/USDT", "1d", candle_type)] = generate_test_data(
-        "1d", size=20, start=bot_start.strftime("%Y-%m-%d")
+        "1d", size=20, start=bot_start.strftime("%Y-%m-%d"), base=30000
     )
 
     exchange = MagicMock()
@@ -238,8 +238,8 @@ def test_migrate_wallet_history_with_multiple_pairs(default_conf_usdt, fee, time
     btc_entries = [e for e in wallet_entries if e.currency == "BTC"]
     assert len(eth_entries) == 4
     assert len(btc_entries) == 2
-    assert all(entry.price and entry.price != 1.0 for entry in eth_entries)
-    assert all(entry.price and entry.price != 1.0 for entry in btc_entries)
+    assert all(entry.price and entry.price > 1400 and entry.price < 1600 for entry in eth_entries)
+    assert all(entry.price and entry.price > 29000 and entry.price < 31000 for entry in btc_entries)
     assert all(entry.balance == 10 for entry in btc_entries)