diff --git a/src/test/isolation2/expected/vacuum_progress_column.out b/src/test/isolation2/expected/vacuum_progress_column.out
index 587bd35f7c8..92265df87dc 100644
--- a/src/test/isolation2/expected/vacuum_progress_column.out
+++ b/src/test/isolation2/expected/vacuum_progress_column.out
@@ -41,21 +41,31 @@ ABORT
 1: ABORT;
 ABORT
 
+-- Look up the collected stats before the DELETE below.  The stats collector
+-- is asynchronous: wait until it has received the dead tuples of both
+-- aborted inserts, and read the view before the DELETE, whose own counts
+-- may reach the collector at any moment after it.
+1U: SELECT wait_until_dead_tup_change_to('vacuum_progress_ao_column'::regclass::oid, 200000);
+ wait_until_dead_tup_change_to 
+-------------------------------
+ OK                            
+(1 row)
+SELECT n_live_tup, n_dead_tup, last_vacuum, vacuum_count FROM pg_stat_all_tables WHERE relname = 'vacuum_progress_ao_column';
+ n_live_tup | n_dead_tup | last_vacuum | vacuum_count 
+------------+------------+-------------+--------------
+ 100000     | 200000     |             | 0            
+(1 row)
+
 -- Also delete half of the tuples evenly before the EOF of segno 2.
 DELETE FROM vacuum_progress_ao_column where j % 2 = 0;
 DELETE 50000
 
--- Lookup pg_class and collected stats view before VACUUM
+-- Lookup pg_class before VACUUM
 SELECT relpages, reltuples, relallvisible FROM pg_class where relname = 'vacuum_progress_ao_column';
  relpages | reltuples | relallvisible 
 ----------+-----------+---------------
  0        | -1        | 0             
 (1 row)
-SELECT n_live_tup, n_dead_tup, last_vacuum, vacuum_count FROM pg_stat_all_tables WHERE relname = 'vacuum_progress_ao_column';
- n_live_tup | n_dead_tup | last_vacuum | vacuum_count 
-------------+------------+-------------+--------------
- 100000     | 200000     |             | 0            
-(1 row)
 
 -- Perform VACUUM and observe the progress
 
diff --git a/src/test/isolation2/expected/vacuum_progress_row.out b/src/test/isolation2/expected/vacuum_progress_row.out
index 0f1b3e65ef5..fc9cf85955e 100644
--- a/src/test/isolation2/expected/vacuum_progress_row.out
+++ b/src/test/isolation2/expected/vacuum_progress_row.out
@@ -41,21 +41,31 @@ ABORT
 1: ABORT;
 ABORT
 
+-- Look up the collected stats before the DELETE below.  The stats collector
+-- is asynchronous: wait until it has received the dead tuples of both
+-- aborted inserts, and read the view before the DELETE, whose own counts
+-- may reach the collector at any moment after it.
+1U: SELECT wait_until_dead_tup_change_to('vacuum_progress_ao_row'::regclass::oid, 200000);
+ wait_until_dead_tup_change_to 
+-------------------------------
+ OK                            
+(1 row)
+SELECT n_live_tup, n_dead_tup, last_vacuum, vacuum_count FROM pg_stat_all_tables WHERE relname = 'vacuum_progress_ao_row';
+ n_live_tup | n_dead_tup | last_vacuum | vacuum_count 
+------------+------------+-------------+--------------
+ 100000     | 200000     |             | 0            
+(1 row)
+
 -- Also delete half of the tuples evenly before the EOF of segno 2.
 DELETE FROM vacuum_progress_ao_row where j % 2 = 0;
 DELETE 50000
 
--- Lookup pg_class and collected stats view before VACUUM
+-- Lookup pg_class before VACUUM
 SELECT relpages, reltuples, relallvisible FROM pg_class where relname = 'vacuum_progress_ao_row';
  relpages | reltuples | relallvisible 
 ----------+-----------+---------------
  0        | -1        | 0             
 (1 row)
-SELECT n_live_tup, n_dead_tup, last_vacuum, vacuum_count FROM pg_stat_all_tables WHERE relname = 'vacuum_progress_ao_row';
- n_live_tup | n_dead_tup | last_vacuum | vacuum_count 
-------------+------------+-------------+--------------
- 100000     | 200000     |             | 0            
-(1 row)
 
 -- Perform VACUUM and observe the progress
 
diff --git a/src/test/isolation2/sql/vacuum_progress_column.sql b/src/test/isolation2/sql/vacuum_progress_column.sql
index 648d43303be..e18d482d57c 100644
--- a/src/test/isolation2/sql/vacuum_progress_column.sql
+++ b/src/test/isolation2/sql/vacuum_progress_column.sql
@@ -27,12 +27,18 @@ CREATE INDEX on vacuum_progress_ao_column(j);
 -- Abort so that segno 1 has logical EOF = 0.
 1: ABORT;
 
+-- Look up the collected stats before the DELETE below.  The stats collector
+-- is asynchronous: wait until it has received the dead tuples of both
+-- aborted inserts, and read the view before the DELETE, whose own counts
+-- may reach the collector at any moment after it.
+1U: SELECT wait_until_dead_tup_change_to('vacuum_progress_ao_column'::regclass::oid, 200000);
+SELECT n_live_tup, n_dead_tup, last_vacuum, vacuum_count FROM pg_stat_all_tables WHERE relname = 'vacuum_progress_ao_column';
+
 -- Also delete half of the tuples evenly before the EOF of segno 2.
 DELETE FROM vacuum_progress_ao_column where j % 2 = 0;
 
--- Lookup pg_class and collected stats view before VACUUM
+-- Lookup pg_class before VACUUM
 SELECT relpages, reltuples, relallvisible FROM pg_class where relname = 'vacuum_progress_ao_column';
-SELECT n_live_tup, n_dead_tup, last_vacuum, vacuum_count FROM pg_stat_all_tables WHERE relname = 'vacuum_progress_ao_column';
 
 -- Perform VACUUM and observe the progress
 
diff --git a/src/test/isolation2/sql/vacuum_progress_row.sql b/src/test/isolation2/sql/vacuum_progress_row.sql
index 1ccf6ca090f..bf56a5c5e48 100644
--- a/src/test/isolation2/sql/vacuum_progress_row.sql
+++ b/src/test/isolation2/sql/vacuum_progress_row.sql
@@ -27,12 +27,18 @@ CREATE INDEX on vacuum_progress_ao_row(j);
 -- Abort so that segno 1 has logical EOF = 0.
 1: ABORT;
 
+-- Look up the collected stats before the DELETE below.  The stats collector
+-- is asynchronous: wait until it has received the dead tuples of both
+-- aborted inserts, and read the view before the DELETE, whose own counts
+-- may reach the collector at any moment after it.
+1U: SELECT wait_until_dead_tup_change_to('vacuum_progress_ao_row'::regclass::oid, 200000);
+SELECT n_live_tup, n_dead_tup, last_vacuum, vacuum_count FROM pg_stat_all_tables WHERE relname = 'vacuum_progress_ao_row';
+
 -- Also delete half of the tuples evenly before the EOF of segno 2.
 DELETE FROM vacuum_progress_ao_row where j % 2 = 0;
 
--- Lookup pg_class and collected stats view before VACUUM
+-- Lookup pg_class before VACUUM
 SELECT relpages, reltuples, relallvisible FROM pg_class where relname = 'vacuum_progress_ao_row';
-SELECT n_live_tup, n_dead_tup, last_vacuum, vacuum_count FROM pg_stat_all_tables WHERE relname = 'vacuum_progress_ao_row';
 
 -- Perform VACUUM and observe the progress