diff --git a/gstlal-inspiral/bin/gstlal_inspiral_create_prior_diststats b/gstlal-inspiral/bin/gstlal_inspiral_create_prior_diststats
index 760d6175d7b8f75d4d88d0820a6986588ac7d218..4c1bca20da452647aebb26e5516afb6d83e3a358 100755
--- a/gstlal-inspiral/bin/gstlal_inspiral_create_prior_diststats
+++ b/gstlal-inspiral/bin/gstlal_inspiral_create_prior_diststats
@@ -121,7 +121,7 @@ def parse_command_line():
 		horizon_factors.update(bank.horizon_factors)
 	if options.df == "bandwidth":
 		# don't let the bandwidth get too small
-		options.df = max(int(min(bandwidths)) + 1, 10)
+		options.df = max(int(min(bandwidths)) + 1, 10) * 3
 
 	return options, process_params, filenames, template_ids, horizon_factors