diff --git a/test/long_stochastic.sh b/test/long_stochastic.sh
index a386dcf9..55412cfb 100755
--- a/test/long_stochastic.sh
+++ b/test/long_stochastic.sh
@@ -35,6 +35,9 @@ fi
 # system immediately, as well some space is required for logs.
 #
 db_size_mb=$(expr '(' ${ram_avail_mb} - ${ram_reserve4logs_mb} ')' / 4)
+if [ ${db_size_mb} -gt 3072 ]; then
+db_size_mb=3072
+fi
 echo "=== ${ram_avail_mb}M RAM available, use ${db_size_mb}M for DB"
 
 make check