diff --git a/src/test/regress/expected/stats.out b/src/test/regress/expected/stats.out
index c595442b93f..fc91f3ce365 100644
--- a/src/test/regress/expected/stats.out
+++ b/src/test/regress/expected/stats.out
@@ -32,6 +32,7 @@ declare
   updated1 bool;
   updated2 bool;
   updated3 bool;
+  updated4 bool;
 begin
   -- we don't want to wait forever; loop will exit after 30 seconds
   for i in 1 .. 300 loop
@@ -55,7 +56,13 @@ begin
     SELECT (n_tup_ins > 0) INTO updated3
       FROM pg_stat_user_tables WHERE relname='trunc_stats_test4';
 
-    exit when updated1 and updated2 and updated3;
+    -- We must also check explicitly that pg_stat_get_snapshot_timestamp has
+    -- advanced, because that comes from the global stats file which might
+    -- be older than the per-DB stats file we got the other values from.
+    SELECT (pr.snap_ts < pg_stat_get_snapshot_timestamp()) INTO updated4
+      FROM prevstats AS pr;
+
+    exit when updated1 and updated2 and updated3 and updated4;
 
     -- wait a little
     perform pg_sleep_for('100 milliseconds');
diff --git a/src/test/regress/sql/stats.sql b/src/test/regress/sql/stats.sql
index 026c93038f6..6e882bf3aca 100644
--- a/src/test/regress/sql/stats.sql
+++ b/src/test/regress/sql/stats.sql
@@ -31,6 +31,7 @@ declare
   updated1 bool;
   updated2 bool;
   updated3 bool;
+  updated4 bool;
 begin
   -- we don't want to wait forever; loop will exit after 30 seconds
   for i in 1 .. 300 loop
@@ -54,7 +55,13 @@ begin
     SELECT (n_tup_ins > 0) INTO updated3
       FROM pg_stat_user_tables WHERE relname='trunc_stats_test4';
 
-    exit when updated1 and updated2 and updated3;
+    -- We must also check explicitly that pg_stat_get_snapshot_timestamp has
+    -- advanced, because that comes from the global stats file which might
+    -- be older than the per-DB stats file we got the other values from.
+    SELECT (pr.snap_ts < pg_stat_get_snapshot_timestamp()) INTO updated4
+      FROM prevstats AS pr;
+
+    exit when updated1 and updated2 and updated3 and updated4;
 
     -- wait a little
     perform pg_sleep_for('100 milliseconds');