diff --git a/test/basis/test_integration_basis_quadrature.jl b/test/basis/test_integration_basis_quadrature.jl
new file mode 100644
index 0000000..0622e1e
--- /dev/null
+++ b/test/basis/test_integration_basis_quadrature.jl
@@ -0,0 +1,18 @@
+# This file is a part of JuliaFEM.
+# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
+
+using Test
+using JuliaFEM
+
+@testset "integration_points(topology, basis) tracks basis order" begin
+    ips_l1 = integration_points(Tet4(), Lagrange{1}())
+    ips_l2 = integration_points(Tet4(), Lagrange{2}())
+    @test length(ips_l2) > length(ips_l1)
+    @test basis_quadrature_order(Lagrange{2}()) == 2
+end
+
+@testset "topology-only integration matches Lagrange{1} basis on Tet4" begin
+    ips_topo = integration_points(Tet4())
+    ips_b = integration_points(Tet4(), Lagrange{1}())
+    @test length(ips_topo) == length(ips_b)
+end