diff --git a/pvlib/tests/test_inverter.py b/pvlib/tests/test_inverter.py
index 4962d3e495..6c854efba2 100644
--- a/pvlib/tests/test_inverter.py
+++ b/pvlib/tests/test_inverter.py
@@ -61,13 +61,13 @@ def test_sandia_float(cec_inverter_parameters):
     idcs = 5.5
     pdcs = idcs * vdcs
     pacs = inverter.sandia(vdcs, pdcs, cec_inverter_parameters)
-    assert_allclose(pacs, 132.004278, 5)
+    assert_allclose(pacs, 132.004278, 1e-5)
     # test at low power condition
     vdcs = 25.
     idcs = 0
     pdcs = idcs * vdcs
     pacs = inverter.sandia(vdcs, pdcs, cec_inverter_parameters)
-    assert_allclose(pacs, -1. * cec_inverter_parameters['Pnt'], 5)
+    assert_allclose(pacs, -1. * cec_inverter_parameters['Pnt'], 1e-5)
 
 
 def test_sandia_Pnt_micro():
diff --git a/pvlib/tests/test_irradiance.py b/pvlib/tests/test_irradiance.py
index 75847c655a..c855c88d73 100644
--- a/pvlib/tests/test_irradiance.py
+++ b/pvlib/tests/test_irradiance.py
@@ -1053,7 +1053,7 @@ def test_erbs_all_scalar():
     out = irradiance.erbs(ghi, zenith, doy)
 
     for k, v in out.items():
-        assert_allclose(v, expected[k], 5)
+        assert_allclose(v, expected[k], 1e-2)
 
 
 def test_dirindex(times):
diff --git a/pvlib/tests/test_pvsystem.py b/pvlib/tests/test_pvsystem.py
index f193a16e95..256d962fb4 100644
--- a/pvlib/tests/test_pvsystem.py
+++ b/pvlib/tests/test_pvsystem.py
@@ -206,7 +206,7 @@ def test_PVSystem_sapm(sapm_module_params, mocker):
     out = system.sapm(effective_irradiance, temp_cell)
     pvsystem.sapm.assert_called_once_with(effective_irradiance, temp_cell,
                                           sapm_module_params)
-    assert_allclose(out['p_mp'], 100, atol=100)
+    assert_allclose(out['p_mp'], 100, 10)
 
 
 def test_PVSystem_multi_array_sapm(sapm_module_params):
@@ -487,7 +487,7 @@ def test_PVSystem_faiman_celltemp(mocker):
     winds = 1
     out = system.get_cell_temperature(irrads, temps, winds, model='faiman')
     temperature.faiman.assert_called_once_with(irrads, temps, winds, u0, u1)
-    assert_allclose(out, 56.4, atol=1)
+    assert_allclose(out, 56.4, atol=1e-1)
 
 
 def test_PVSystem_noct_celltemp(mocker):
@@ -1062,7 +1062,7 @@ def test_PVSystem_calcparams_desoto(cec_module_params, mocker):
         dEgdT=module_parameters['dEgdT']
     )
 
-    assert_allclose(IL, np.array([0.0, 6.036]), atol=1)
+    assert_allclose(IL, np.array([0.0, 6.036]), atol=1e-1)
     assert_allclose(I0, np.array([2.0e-9, 2.0e-9]), atol=1.0e-9)
     assert_allclose(Rs, np.array([0.1, 0.1]), atol=0.1)
     assert_allclose(Rsh, np.array([np.inf, 20]), atol=1)
diff --git a/pvlib/tests/test_temperature.py b/pvlib/tests/test_temperature.py
index 18560501fb..3fda38372e 100644
--- a/pvlib/tests/test_temperature.py
+++ b/pvlib/tests/test_temperature.py
@@ -20,13 +20,13 @@ def sapm_default():
 def test_sapm_cell(sapm_default):
     default = temperature.sapm_cell(900, 20, 5, sapm_default['a'],
                                     sapm_default['b'], sapm_default['deltaT'])
-    assert_allclose(default, 43.509, 3)
+    assert_allclose(default, 43.509, 1e-3)
 
 
 def test_sapm_module(sapm_default):
     default = temperature.sapm_module(900, 20, 5, sapm_default['a'],
                                       sapm_default['b'])
-    assert_allclose(default, 40.809, 3)
+    assert_allclose(default, 40.809, 1e-3)
 
 
 def test_sapm_cell_from_module(sapm_default):
@@ -47,8 +47,8 @@ def test_sapm_ndarray(sapm_default):
                                            sapm_default['b'])
     expected_cell = np.array([0., 23.06066166, 5.])
     expected_module = np.array([0., 21.56066166, 5.])
-    assert_allclose(expected_cell, cell_temps, 3)
-    assert_allclose(expected_module, module_temps, 3)
+    assert_allclose(expected_cell, cell_temps, 1e-3)
+    assert_allclose(expected_module, module_temps, 1e-3)
 
 
 def test_sapm_series(sapm_default):