diff --git a/lib/ControlSystemsBase/src/timeresp.jl b/lib/ControlSystemsBase/src/timeresp.jl
index 9c36480f4..6088f0c61 100644
--- a/lib/ControlSystemsBase/src/timeresp.jl
+++ b/lib/ControlSystemsBase/src/timeresp.jl
@@ -415,6 +415,7 @@ function _default_time_vector(sys::LTISystem, tfinal::Real=-1)
             ω0_min = minimum(w for w in ws if w > 1e-6; init=dt)
             dt_slow = round(1/(2ω0_min), sigdigits=2)
             tfinal = max(200dt, dt_slow)
+            tfinal = min(tfinal, 100_000*dt)
         else
             tfinal = 200dt
         end
diff --git a/test/test_timeresp.jl b/test/test_timeresp.jl
index e6b68f1f3..77314f4bc 100644
--- a/test/test_timeresp.jl
+++ b/test/test_timeresp.jl
@@ -138,4 +138,23 @@ s = tf('s')
 sys = 0.0002/s^2;
 t = 0:0.01:10
 u1(x,t) = [25(5.0 <= t < 5.1)]
-@test lsim(sys, u1, t; ).y[end] ≈ lsim(sys, u1, t; method=:zoh).y[end] rtol=0.1
\ No newline at end of file
+@test lsim(sys, u1, t; ).y[end] ≈ lsim(sys, u1, t; method=:zoh).y[end] rtol=0.1
+
+
+## Slow and fast time constants make reasonable length time vector (https://github.com/JuliaControl/ControlSystems.jl/issues/880)
+A =
+[ -6538.4         -40.38          0.0                  0.0;
+   409.6               0.0                 0.0                  0.0;
+     0.0               0.9164            -28.28       -20.0;
+     0.0               0.0                20.0                  0.0]
+B =
+[ 3846.15    0.0;
+    0.0             -288.0;
+    0.0                0.0;
+    0.0                0.0]
+C =[ 0.0  0.0  0.0  1.0]
+D =[ 0.0  0.0]
+
+sys = ss(A,B,C,D)
+@test length(ControlSystemsBase._default_time_vector(sys)) <= 1e5+1
+@test step(sys) isa ControlSystemsBase.SimResult
\ No newline at end of file