diff --git a/tests/components/sofar/test_init.py b/tests/components/sofar/test_init.py
index 7a973e44388b..be162081ff18 100644
--- a/tests/components/sofar/test_init.py
+++ b/tests/components/sofar/test_init.py
@@ -1,5 +1,6 @@
 """Test the Sofar Inverter Modbus integration setup and unload."""
 
+from collections.abc import Callable
 from datetime import timedelta
 from unittest.mock import patch
 
@@ -16,8 +17,8 @@ from homeassistant.components.sofar.const import (
 )
 from homeassistant.components.sofar.coordinator import SofarRuntimeData
 from homeassistant.config_entries import ConfigEntryState
-from homeassistant.const import STATE_UNAVAILABLE
-from homeassistant.core import HomeAssistant
+from homeassistant.const import STATE_UNAVAILABLE, STATE_UNKNOWN
+from homeassistant.core import HomeAssistant, State
 from homeassistant.helpers import device_registry as dr, entity_registry as er
 from homeassistant.setup import async_setup_component
 
@@ -31,7 +32,12 @@ from . import (
     seed_hybrid_inverter,
 )
 
-from tests.common import MockConfigEntry, async_fire_time_changed
+from tests.common import (
+    MockConfigEntry,
+    async_fire_time_changed,
+    mock_restore_cache,
+    mock_restore_cache_with_extra_data,
+)
 from tests.typing import WebSocketGenerator
 
 PV_POWER_REGISTER = 0x0586
@@ -110,6 +116,68 @@ async def test_setup_removes_the_stale_waiting_time_entity(
     assert entity_registry.async_get(entry.entity_id) is None
 
 
+def _seed_without_extra_data(hass: HomeAssistant, entity_id: str) -> None:
+    """Restore a total the way a non-sensor entity stores it: no extra data."""
+    mock_restore_cache(hass, [State(entity_id, "120.0")])
+
+
+def _seed_with_unusable_value(hass: HomeAssistant, entity_id: str) -> None:
+    """Restore a total that was unknown when it was written."""
+    mock_restore_cache_with_extra_data(
+        hass,
+        [
+            (
+                State(entity_id, STATE_UNKNOWN),
+                {"native_value": None, "native_unit_of_measurement": "kWh"},
+            )
+        ],
+    )
+
+
+@pytest.mark.parametrize(
+    "seed_restore_cache",
+    [
+        pytest.param(_seed_without_extra_data, id="no_extra_data"),
+        pytest.param(_seed_with_unusable_value, id="no_value"),
+    ],
+)
+async def test_setup_skips_seeding_an_unusable_restored_total(
+    hass: HomeAssistant,
+    mock_connection: MockModbusConnection,
+    mock_config_entry: MockConfigEntry,
+    entity_registry: er.EntityRegistry,
+    seed_restore_cache: Callable[[HomeAssistant, str], None],
+) -> None:
+    """Test a restored total without a usable number seeds no high-water mark."""
+    mock_config_entry.add_to_hass(hass)
+    entry = entity_registry.async_get_or_create(
+        SENSOR_DOMAIN,
+        DOMAIN,
+        f"{MOCK_SERIAL}_load_consumption_total",
+        config_entry=mock_config_entry,
+    )
+    seed_restore_cache(hass, entry.entity_id)
+
+    with (
+        patch(
+            "homeassistant.components.sofar.async_get_unit",
+            side_effect=lambda hass, entry, params, unit_id: mock_connection.for_unit(
+                unit_id
+            ),
+        ),
+        patch(
+            "sofar_modbus.model.TornReadCorrectedComponent.seed_high_water"
+        ) as mock_seed,
+    ):
+        await hass.config_entries.async_setup(mock_config_entry.entry_id)
+        await hass.async_block_till_done(wait_background_tasks=True)
+
+    # A seed attempt would raise on the unusable value, so setup surviving
+    # is half the assertion.
+    assert mock_config_entry.state is ConfigEntryState.LOADED
+    mock_seed.assert_not_called()
+
+
 async def test_setup_entry_unrecognized_inverter_raises_setup_error(
     hass: HomeAssistant,
 ) -> None: