diff --git a/bilby/gw/conversion.py b/bilby/gw/conversion.py
index dd63232fd04e57ad7d76786a590920e27acedde2..e4ffcff231c50724dae7bcb849851d96aef6ac65 100644
--- a/bilby/gw/conversion.py
+++ b/bilby/gw/conversion.py
@@ -1107,7 +1107,7 @@ def generate_time_sample_from_marginalized_likelihood(
     time_prior_array = likelihood.priors['geocent_time'].prob(times)
     time_post = (np.exp(time_log_like - max(time_log_like)) * time_prior_array)
 
-    keep = (time_post > max(time_post) / 10)
+    keep = (time_post > max(time_post) / 1000)
     time_post = time_post[keep]
     times = times[keep]
     sample['geocent_time'] = Interped(times, time_post).sample()