diff --git a/test/test_p4est_3d.jl b/test/test_p4est_3d.jl
index f2467f30204..49c1fb0624d 100644
--- a/test/test_p4est_3d.jl
+++ b/test/test_p4est_3d.jl
@@ -234,6 +234,34 @@ end
     end
 end
 
+@trixi_testset "elixir_euler_free_stream_extruded.jl with HLLC FLux" begin
+  @test_trixi_include(joinpath(EXAMPLES_DIR, "elixir_euler_free_stream_extruded.jl"),
+                      l2=[
+                          8.444868392439035e-16,
+                          4.889826056731442e-15,
+                          2.2921260987087585e-15,
+                          4.268460455702414e-15,
+                          1.1356712092620279e-14
+                      ],
+                      linf=[
+                          7.749356711883593e-14,
+                          4.513472928735496e-13,
+                          2.9790059308254513e-13,
+                          1.057154364048074e-12,
+                          1.6271428648906294e-12
+                          ],
+                      tspan=(0.0, 0.1),
+                      surface_flux = flux_hllc)
+  # Ensure that we do not have excessive memory allocations
+  # (e.g., from type instabilities)
+  let
+      t = sol.t[end]
+      u_ode = sol.u[end]
+      du_ode = similar(u_ode)
+      @test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
+  end
+end
+
 @trixi_testset "elixir_euler_ec.jl" begin
     @test_trixi_include(joinpath(EXAMPLES_DIR, "elixir_euler_ec.jl"),
                         l2=[