diff --git a/src/Test/UnitTests/solve.jl b/src/Test/UnitTests/solve.jl
index 3c58b69f56..0ff5f5d994 100644
--- a/src/Test/UnitTests/solve.jl
+++ b/src/Test/UnitTests/solve.jl
@@ -79,3 +79,19 @@ function solve_objbound_edge_cases(model::MOI.ModelLike, config::TestConfig)
     end
 end
 unittests["solve_objbound_edge_cases"] = solve_objbound_edge_cases
+
+function solve_unbounded_model(model::MOI.ModelLike, config::TestConfig)
+    MOI.empty!(model)
+    x = MOI.add_variables(model, 5)
+    MOI.set(
+        model,
+        MOI.ObjectiveFunction{MOI.ScalarAffineFunction{Float64}}(),
+        MOI.ScalarAffineFunction(MOI.ScalarAffineTerm.(1.0, x), 0.0)
+    )
+    MOI.set(model, MOI.ObjectiveSense(), MOI.MIN_SENSE)
+    if config.solve
+        MOI.optimize!(model)
+        @test MOI.get(model, MOI.TerminationStatus()) == MOI.DUAL_INFEASIBLE
+    end
+end
+unittests["solve_unbounded_model"] = solve_unbounded_model
diff --git a/test/Test/unit.jl b/test/Test/unit.jl
index 11051277ea..b978c67bbb 100644
--- a/test/Test/unit.jl
+++ b/test/Test/unit.jl
@@ -41,7 +41,8 @@ end
             "solve_time",
             "solve_zero_one_with_bounds_1",
             "solve_zero_one_with_bounds_2",
-            "solve_zero_one_with_bounds_3"
+            "solve_zero_one_with_bounds_3",
+            "solve_unbounded_model"
             ])
         MOI.empty!(model)
     end
@@ -329,6 +330,15 @@ end
         MOIT.solve_zero_one_with_bounds_2(mock, config)
         MOIT.solve_zero_one_with_bounds_3(mock, config)
     end
+
+    @testset "solve_unbounded_model" begin
+        MOIU.set_mock_optimize!(mock,
+            (mock::MOIU.MockOptimizer) -> begin
+                MOIU.mock_optimize!(mock, MOI.DUAL_INFEASIBLE)
+            end
+        )
+        MOIT.solve_unbounded_model(mock, config)
+    end
 end
 
 @testset "modifications" begin