diff --git a/pyproject.toml b/pyproject.toml
index 105f41f254..42e32c1c52 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -49,7 +49,7 @@ dev = [
     # Commented out due to dependency version conflict with pydantic 1.x
     # "copier",
     "myst-parser",
-    "ophyd_async[sim]",
+    "ophyd_async[sim]>=v0.13.6",
     "pipdeptree",
     "pre-commit",
     "psutil",
diff --git a/src/dodal/devices/fast_grid_scan.py b/src/dodal/devices/fast_grid_scan.py
index 58c56e589d..b06cb94ad6 100644
--- a/src/dodal/devices/fast_grid_scan.py
+++ b/src/dodal/devices/fast_grid_scan.py
@@ -1,5 +1,7 @@
 import asyncio
 from abc import ABC, abstractmethod
+from functools import partial
+from math import isclose
 from typing import Generic, TypeVar
 
 import numpy as np
@@ -307,10 +309,21 @@ async def prepare(self, value: ParamType):
         set_statuses = []
 
         LOGGER.info("Applying gridscan parameters...")
+
         # Create arguments for bps.mv
         for key, signal in self._movable_params.items():
             param_value = value.__dict__[key]
-            set_statuses.append(await set_and_wait_for_value(signal, param_value))  # type: ignore
+
+            matcher = partial(isclose, param_value, abs_tol=0.001)
+            matcher.__name__ = "does_parameter_match"  # type: ignore # Remove when https://github.com/bluesky/ophyd-async/pull/1123 deployed
+
+            set_statuses.append(
+                await set_and_wait_for_value(
+                    signal,  # type: ignore
+                    param_value,
+                    match_value=matcher,
+                )
+            )
 
         # Counter should always start at 0
         set_statuses.append(await set_and_wait_for_value(self.position_counter, 0))
diff --git a/tests/devices/test_gridscan.py b/tests/devices/test_gridscan.py
index bfbff7141c..456931fa1e 100644
--- a/tests/devices/test_gridscan.py
+++ b/tests/devices/test_gridscan.py
@@ -2,6 +2,7 @@
 from asyncio import wait_for
 from contextlib import nullcontext
 from dataclasses import dataclass
+from typing import Any
 from unittest.mock import AsyncMock, MagicMock, patch
 
 import numpy as np
@@ -11,7 +12,12 @@
 from bluesky.run_engine import RunEngine
 from ophyd.status import DeviceStatus, Status
 from ophyd_async.core import init_devices
-from ophyd_async.testing import get_mock_put, set_mock_put_proceeds, set_mock_value
+from ophyd_async.testing import (
+    callback_on_mock_put,
+    get_mock_put,
+    set_mock_put_proceeds,
+    set_mock_value,
+)
 
 from dodal.devices.fast_grid_scan import (
     FastGridScanCommon,
@@ -476,7 +482,9 @@ async def test_i02_1_gridscan_has_2d_behaviour(
 
 
 async def test_gridscan_prepare_writes_values_and_checks_readback(
-    grid_scan_devices_with_params_and_valid_state,
+    grid_scan_devices_with_params_and_valid_state: tuple[
+        FastGridScanCommon, GridScanParamsCommon, Any
+    ],
 ):
     grid_scan_device, grid_scan_params, valid_state = (
         grid_scan_devices_with_params_and_valid_state
@@ -516,7 +524,9 @@ async def test_gridscan_prepare_writes_values_and_checks_readback(
 
 
 async def test_gridscan_prepare_checks_validity_after_writes(
-    grid_scan_devices_with_params_and_valid_state,
+    grid_scan_devices_with_params_and_valid_state: tuple[
+        FastGridScanCommon, GridScanParamsCommon, Any
+    ],
 ):
     grid_scan_device, grid_scan_params, valid_state = (
         grid_scan_devices_with_params_and_valid_state
@@ -549,7 +559,9 @@ async def test_gridscan_prepare_checks_validity_after_writes(
 
 
 async def test_gridscan_prepare_times_out_for_validity_check(
-    grid_scan_devices_with_params_and_valid_state,
+    grid_scan_devices_with_params_and_valid_state: tuple[
+        FastGridScanCommon, GridScanParamsCommon, Any
+    ],
 ):
     grid_scan_device, grid_scan_params, valid_state = (
         grid_scan_devices_with_params_and_valid_state
@@ -572,3 +584,22 @@ async def test_gridscan_prepare_times_out_for_validity_check(
         and cause.args[0]
         == f"{device_name}-scan_invalid didn't match 0.0 in 0.5s, last value 1.0"
     )
+
+
+async def test_gridscan_prepare_works_within_tolerance_on_the_readback(
+    grid_scan_devices_with_params_and_valid_state: tuple[
+        FastGridScanCommon, GridScanParamsCommon, Any
+    ],
+):
+    grid_scan_device, grid_scan_params, valid_state = (
+        grid_scan_devices_with_params_and_valid_state
+    )
+
+    grid_scan_params.x_step_size_mm = 0.1111111
+
+    def return_rounded_value(value, *_, **__):
+        return round(value, 3)
+
+    callback_on_mock_put(grid_scan_device.x_step_size, return_rounded_value)
+
+    await grid_scan_device.prepare(grid_scan_params)