diff --git a/test/test_complex.jl b/test/test_complex.jl
index 7b64c027f20..7fcab52dfe1 100644
--- a/test/test_complex.jl
+++ b/test/test_complex.jl
@@ -257,6 +257,23 @@ function test_complex_hermitian_constraint()
     return
 end
 
+function test_complex_hermitian_inequality_constraint()
+    model = Model()
+    @variable(model, x[1:2, 1:2])
+    H = LinearAlgebra.Hermitian(x)
+    @test vectorize(H, HermitianMatrixShape(2)) ==
+          [x[1, 1], x[1, 2], x[2, 2], 0.0]
+    @constraint(model, c, H >= 0, HermitianPSDCone())
+    @test constraint_object(c).func == [x[1, 1], x[1, 2], x[2, 2], 0.0]
+    @test function_string(MIME("text/plain"), constraint_object(c)) ==
+          "[x[1,1]  x[1,2];\n x[1,2]  x[2,2]]"
+    @constraint(model, c2, 0 <= H, HermitianPSDCone())
+    @test constraint_object(c2).func == [x[1, 1], x[1, 2], x[2, 2], 0.0]
+    @test function_string(MIME("text/plain"), constraint_object(c2)) ==
+          "[x[1,1]  x[1,2];\n x[1,2]  x[2,2]]"
+    return
+end
+
 function test_isreal()
     model = Model()
     @variable(model, x[1:2])