diff --git a/unit_test/test_conductivity/input_conductivity b/unit_test/test_conductivity/input_conductivity
index ba1e1a2da..f13f8a01d 100644
--- a/unit_test/test_conductivity/input_conductivity
+++ b/unit_test/test_conductivity/input_conductivity
@@ -7,3 +7,5 @@ unit_test.temp_min   = 1.e6
 unit_test.temp_max   = 1.e10
 
 unit_test.metalicity_max = 0.5
+
+unit_test.small_dens = 1.e-4
diff --git a/unit_test/test_eos/input_eos b/unit_test/test_eos/input_eos
index ba1e1a2da..1d3f8530f 100644
--- a/unit_test/test_eos/input_eos
+++ b/unit_test/test_eos/input_eos
@@ -7,3 +7,6 @@ unit_test.temp_min   = 1.e6
 unit_test.temp_max   = 1.e10
 
 unit_test.metalicity_max = 0.5
+
+unit_test.small_temp = 1.e4
+unit_test.small_dens = 1.e-4
diff --git a/unit_test/test_eos/input_eos.multigamma b/unit_test/test_eos/input_eos.multigamma
index 8ef2497dd..0577717f3 100644
--- a/unit_test/test_eos/input_eos.multigamma
+++ b/unit_test/test_eos/input_eos.multigamma
@@ -14,3 +14,4 @@ eos.species_a_gamma = 1.6666
 eos.species_b_name = "carbon-12"
 eos.species_b_gamma = 1.333333
 
+unit_test.small_dens = 1.e-4
diff --git a/unit_test/test_eos/input_eos.polytrope b/unit_test/test_eos/input_eos.polytrope
index c92ca6f48..267e5e34a 100644
--- a/unit_test/test_eos/input_eos.polytrope
+++ b/unit_test/test_eos/input_eos.polytrope
@@ -10,3 +10,5 @@ unit_test.metalicity_max = 0.5
 
 eos.polytrope_type = 1
 
+unit_test.small_dens = 1.e-4
+
diff --git a/unit_test/test_eos/input_eos.tillotson b/unit_test/test_eos/input_eos.tillotson
index ebff08547..e741625c2 100644
--- a/unit_test/test_eos/input_eos.tillotson
+++ b/unit_test/test_eos/input_eos.tillotson
@@ -7,3 +7,6 @@ unit_test.temp_min = 1.e4
 unit_test.temp_max   = 1.e5
 
 
+unit_test.small_dens = 1.e-4
+unit_test.small_temp = 1.e4
+
diff --git a/unit_test/test_sdc/inputs_aprox13 b/unit_test/test_sdc/inputs_aprox13
index 55ea231f4..b836566f0 100644
--- a/unit_test/test_sdc/inputs_aprox13
+++ b/unit_test/test_sdc/inputs_aprox13
@@ -7,6 +7,8 @@ unit_test.dens_max = 1.e8
 unit_test.temp_min = 5.e7
 unit_test.temp_max = 5.e9
 
+unit_test.small_dens = 1.e3
+
 unit_test.tmax = 1.e-6
 
 unit_test.primary_species_1 = "helium-4"
diff --git a/unit_test/test_sdc/inputs_aprox19.no_nse b/unit_test/test_sdc/inputs_aprox19.no_nse
index ee38766b8..dbd8f9371 100644
--- a/unit_test/test_sdc/inputs_aprox19.no_nse
+++ b/unit_test/test_sdc/inputs_aprox19.no_nse
@@ -9,6 +9,8 @@ unit_test.dens_max   = 1.e8
 unit_test.temp_min   = 5.e7
 unit_test.temp_max   = 5.e8
 
+unit_test.small_dens = 1.e3
+
 unit_test.tmax = 1.e-7
 
 unit_test.primary_species_1 = "hydrogen-1"
diff --git a/unit_test/test_sdc/inputs_aprox19.nse b/unit_test/test_sdc/inputs_aprox19.nse
index 5ad7df95b..7ae18309a 100644
--- a/unit_test/test_sdc/inputs_aprox19.nse
+++ b/unit_test/test_sdc/inputs_aprox19.nse
@@ -9,6 +9,8 @@ unit_test.dens_max   = 5.e8
 unit_test.temp_min   = 5.e7
 unit_test.temp_max   = 5.e9
 
+unit_test.small_dens = 1.e3
+
 unit_test.C_nse = 0.2
 unit_test.T_nse = 5.e8
 unit_test.rho_nse = 3.e7