diff --git a/test/JuMP_tests.jl b/test/JuMP_tests.jl
index cdb5275..e0041ca 100644
--- a/test/JuMP_tests.jl
+++ b/test/JuMP_tests.jl
@@ -61,7 +61,8 @@ function run_jump_tests(
         _psd1,
         _psd2,
         _expdesign,
-        _specialorderedset,
+        # TODO(odow): re-enable. See #453 for details
+        # _specialorderedset,
         _soc1_ncuts,
     ]
     @testset "$inst" for inst in insts
diff --git a/test/MOI_tests.jl b/test/MOI_tests.jl
index bf8f21c..c541473 100644
--- a/test/MOI_tests.jl
+++ b/test/MOI_tests.jl
@@ -67,8 +67,10 @@ function run_moi_tests(
             # TODO: unexpected failures, probably in the bridge layer
             "test_model_UpperBoundAlreadySet",
             "test_model_LowerBoundAlreadySet",
-            "test_constraint_Indicator_ACTIVATE_ON_ZERO",
-            "test_linear_Indicator_constant_term",
+            # TODO: errors bridging to MILP with GLPK
+            "_Indicator_",
+            "_SOS1_",
+            "_SOS2_",
         ],
     )
     return