diff --git a/doc/src/sgml/monitoring.sgml b/doc/src/sgml/monitoring.sgml
index 5bffdcce10d..2bf540f8dba 100644
--- a/doc/src/sgml/monitoring.sgml
+++ b/doc/src/sgml/monitoring.sgml
@@ -4403,7 +4403,7 @@ SELECT pg_stat_get_backend_pid(s.backendid) AS pid,
       total size. If the estimation is disabled in
       <application>pg_basebackup</application>
       (i.e., <literal>--no-estimate-size</literal> option is specified),
-      this is <literal>0</literal>.
+      this is <literal>NULL</literal>.
      </entry>
     </row>
     <row>
diff --git a/doc/src/sgml/ref/pg_basebackup.sgml b/doc/src/sgml/ref/pg_basebackup.sgml
index 90638aad0e2..c8e040bacfc 100644
--- a/doc/src/sgml/ref/pg_basebackup.sgml
+++ b/doc/src/sgml/ref/pg_basebackup.sgml
@@ -546,7 +546,7 @@ PostgreSQL documentation
         amount of backup data that will be streamed, resulting in the
         <literal>backup_total</literal> column in the
         <structname>pg_stat_progress_basebackup</structname>
-        to be <literal>0</literal>.
+        to be <literal>NULL</literal>.
        </para>
        <para>
         Without this option, the backup will start by enumerating
diff --git a/src/backend/catalog/system_views.sql b/src/backend/catalog/system_views.sql
index b8a3f46912d..5a6dc616301 100644
--- a/src/backend/catalog/system_views.sql
+++ b/src/backend/catalog/system_views.sql
@@ -1070,7 +1070,7 @@ CREATE VIEW pg_stat_progress_basebackup AS
                       WHEN 4 THEN 'waiting for wal archiving to finish'
                       WHEN 5 THEN 'transferring wal files'
                       END AS phase,
-	S.param2 AS backup_total,
+	CASE S.param2 WHEN -1 THEN NULL ELSE S.param2 END AS backup_total,
 	S.param3 AS backup_streamed,
 	S.param4 AS tablespaces_total,
 	S.param5 AS tablespaces_streamed
diff --git a/src/backend/replication/basebackup.c b/src/backend/replication/basebackup.c
index 806d013108d..a2e28b064cd 100644
--- a/src/backend/replication/basebackup.c
+++ b/src/backend/replication/basebackup.c
@@ -123,7 +123,10 @@ static long long int total_checksum_failures;
 /* Do not verify checksums. */
 static bool noverify_checksums = false;
 
-/* Total amount of backup data that will be streamed */
+/*
+ * Total amount of backup data that will be streamed.
+ * -1 means that the size is not estimated.
+ */
 static int64 backup_total = 0;
 
 /* Amount of backup data already streamed */
@@ -258,6 +261,18 @@ perform_base_backup(basebackup_options *opt)
 	backup_streamed = 0;
 	pgstat_progress_start_command(PROGRESS_COMMAND_BASEBACKUP, InvalidOid);
 
+	/*
+	 * If the estimation of the total backup size is disabled, make the
+	 * backup_total column in the view return NULL by setting the parameter to
+	 * -1.
+	 */
+	if (!opt->progress)
+	{
+		backup_total = -1;
+		pgstat_progress_update_param(PROGRESS_BASEBACKUP_BACKUP_TOTAL,
+									 backup_total);
+	}
+
 	datadirpathlen = strlen(DataDir);
 
 	backup_started_in_recovery = RecoveryInProgress();
@@ -1842,7 +1857,7 @@ update_basebackup_progress(int64 delta)
 	 * will always be wrong if WAL is included), but that's better than having
 	 * the done column be bigger than the total.
 	 */
-	if (backup_total > 0 && backup_streamed > backup_total)
+	if (backup_total > -1 && backup_streamed > backup_total)
 	{
 		backup_total = backup_streamed;
 		val[nparam++] = backup_total;
diff --git a/src/include/catalog/catversion.h b/src/include/catalog/catversion.h
index 50069bea0e1..8aa18483e4e 100644
--- a/src/include/catalog/catversion.h
+++ b/src/include/catalog/catversion.h
@@ -53,6 +53,6 @@
  */
 
 /*							yyyymmddN */
-#define CATALOG_VERSION_NO	202003191
+#define CATALOG_VERSION_NO	202003241
 
 #endif
diff --git a/src/test/regress/expected/rules.out b/src/test/regress/expected/rules.out
index c7304611c3a..a2077bbad4d 100644
--- a/src/test/regress/expected/rules.out
+++ b/src/test/regress/expected/rules.out
@@ -1886,7 +1886,10 @@ pg_stat_progress_basebackup| SELECT s.pid,
             WHEN 5 THEN 'transferring wal files'::text
             ELSE NULL::text
         END AS phase,
-    s.param2 AS backup_total,
+        CASE s.param2
+            WHEN '-1'::integer THEN NULL::bigint
+            ELSE s.param2
+        END AS backup_total,
     s.param3 AS backup_streamed,
     s.param4 AS tablespaces_total,
     s.param5 AS tablespaces_streamed