diff --git a/CHANGELOG-unreleased.md b/CHANGELOG-unreleased.md
index 8812dc3dd..10566b480 100644
--- a/CHANGELOG-unreleased.md
+++ b/CHANGELOG-unreleased.md
@@ -34,5 +34,6 @@ the released changes.
 - Fixed an incorrect docstring in `pbprime()` functions. 
 - Fix ICRS -> ECL conversion when parameter uncertainties are not set.
 - `get_TOAs` raises an exception upon finding mixed narrowband and wideband TOAs in a tim file. `TOAs.is_wideband` returns True only if *ALL* TOAs have the -pp_dm flag.
+- `make_fake_toas_uniform` and `make_fake_toas_fromMJDs` respects units of errors
 - `TimingModel.designmatrix()` method will fail with an informative error message if there are free unfittable parameters in the timing model.
 ### Removed
diff --git a/src/pint/simulation.py b/src/pint/simulation.py
index 92a9c71d1..a8dcfeeca 100644
--- a/src/pint/simulation.py
+++ b/src/pint/simulation.py
@@ -308,7 +308,6 @@ def make_fake_toas_uniform(
         include_gps=clk_version["include_gps"],
         planets=model["PLANET_SHAPIRO"].value if "PLANET_SHAPIRO" in model else False,
     )
-    ts.table["error"] = error
 
     if wideband:
         ts = update_fake_dms(model, ts, wideband_dm_error, add_noise)
@@ -412,7 +411,6 @@ def make_fake_toas_fromMJDs(
         include_gps=clk_version["include_gps"],
         planets=model["PLANET_SHAPIRO"].value,
     )
-    ts.table["error"] = error
 
     if wideband:
         ts = update_fake_dms(model, ts, wideband_dm_error, add_noise)
diff --git a/tests/test_random_models.py b/tests/test_random_models.py
index 2cc716bb0..b2bc34088 100644
--- a/tests/test_random_models.py
+++ b/tests/test_random_models.py
@@ -3,6 +3,9 @@
 import pytest
 import numpy as np
 
+from astropy import units as u
+from astropy.time import Time
+
 from pint.models import get_model, get_model_and_toas
 from pint.toa import get_TOAs
 import pint.fitter
@@ -10,6 +13,27 @@
 from pinttestdata import datadir
 
 
+@pytest.mark.parametrize("error", [1 * u.us, 1, 10 * u.ns, 1 * u.ms])
+def test_fake_errors_uniform(error):
+    m = get_model(os.path.join(datadir, "NGC6440E.par"))
+    t = simulation.make_fake_toas_uniform(50000, 51000, 10, m, error=error)
+    if isinstance(error, u.Quantity):
+        assert np.all(t["error"].data * t["error"].unit == error)
+    else:
+        assert np.all(t["error"].data * t["error"].unit == error * u.us)
+
+
+@pytest.mark.parametrize("error", [1 * u.us, 1, 10 * u.ns, 1 * u.ms])
+def test_fake_errors_fromMJDs(error):
+    m = get_model(os.path.join(datadir, "NGC6440E.par"))
+    mjds = Time(np.arange(50000, 51000, 10), format="mjd", scale="tdb")
+    t = simulation.make_fake_toas_fromMJDs(mjds, m, error=error)
+    if isinstance(error, u.Quantity):
+        assert np.all(t["error"].data * t["error"].unit == error)
+    else:
+        assert np.all(t["error"].data * t["error"].unit == error * u.us)
+
+
 @pytest.mark.parametrize(
     "fitter",
     [