diff --git a/lib/OrdinaryDiffEqNonlinearSolve/test/modelingtoolkit/nlstep_tests.jl b/lib/OrdinaryDiffEqNonlinearSolve/test/modelingtoolkit/nlstep_tests.jl
index 1b046b6e417..2ce5fcae648 100644
--- a/lib/OrdinaryDiffEqNonlinearSolve/test/modelingtoolkit/nlstep_tests.jl
+++ b/lib/OrdinaryDiffEqNonlinearSolve/test/modelingtoolkit/nlstep_tests.jl
@@ -57,7 +57,7 @@ sim = analyticless_test_convergence(dts, testprob, QNDF2(autodiff = AutoFiniteDi
 
 dts = 2.0 .^ (-15:-1:-18)
 sim = analyticless_test_convergence(dts, testprob, FBDF(autodiff = AutoFiniteDiff(), nlsolve = nlalgrobust), test_setup);
-@test abs(sim.𝒪est[:l∞] - 1) < 0.3 # Only first order because adaptive order starts with Euler!
+@test abs(sim.𝒪est[:l∞] - 1) < 0.5
 
 eqs_nonaut = [
     D(y₁) ~ -k₁ * y₁ + (t + 1) * k₃ * y₂ * y₃,
@@ -113,4 +113,4 @@ sim = analyticless_test_convergence(dts, testprob, QNDF2(autodiff = AutoFiniteDi
 
 dts = 2.0 .^ (-15:-1:-18)
 sim = analyticless_test_convergence(dts, testprob, FBDF(autodiff = AutoFiniteDiff(), nlsolve = nlalgrobust), test_setup);
-@test abs(sim.𝒪est[:l∞] - 1) < 0.35 # Only first order because adaptive order starts with Euler!
+@test abs(sim.𝒪est[:l∞] - 1) < 0.5