diff --git a/src/backend/postmaster/postmaster.c b/src/backend/postmaster/postmaster.c
index 09f50bf4942..f3e723230c9 100644
--- a/src/backend/postmaster/postmaster.c
+++ b/src/backend/postmaster/postmaster.c
@@ -1754,7 +1754,8 @@ ServerLoop(void)
 			PgArchPID = pgarch_start();
 
 		/* If we have lost the stats collector, try to start a new one */
-		if (PgStatPID == 0 && pmState == PM_RUN)
+		if (PgStatPID == 0 &&
+			(pmState == PM_RUN || pmState == PM_HOT_STANDBY))
 			PgStatPID = pgstat_start();
 
 		/* If we need to signal the autovacuum launcher, do so now */
@@ -2902,7 +2903,7 @@ reaper(SIGNAL_ARGS)
 			if (!EXIT_STATUS_0(exitstatus))
 				LogChildExit(LOG, _("statistics collector process"),
 							 pid, exitstatus);
-			if (pmState == PM_RUN)
+			if (pmState == PM_RUN || pmState == PM_HOT_STANDBY)
 				PgStatPID = pgstat_start();
 			continue;
 		}