diff --git a/src/cfgparse.c b/src/cfgparse.c
index bf737c6e6..21b9af540 100644
--- a/src/cfgparse.c
+++ b/src/cfgparse.c
@@ -655,7 +655,7 @@ int cfg_parse_peers(const char *file, int linenum, char **args, int kwm)
 			l->analysers |=  curpeers->peers_fe->fe_req_ana;
 			l->default_target = curpeers->peers_fe->default_target;
 			l->options |= LI_O_UNLIMITED; /* don't make the peers subject to global limits */
-			global.maxsock += l->maxconn;
+			global.maxsock++; /* for the listening socket */
 
 			bind_line = 1;
 			if (cfg_peers->local) {
@@ -859,7 +859,7 @@ int cfg_parse_peers(const char *file, int linenum, char **args, int kwm)
 		l->analysers |=  curpeers->peers_fe->fe_req_ana;
 		l->default_target = curpeers->peers_fe->default_target;
 		l->options |= LI_O_UNLIMITED; /* don't make the peers subject to global limits */
-		global.maxsock += l->maxconn;
+		global.maxsock++; /* for the listening socket */
 	} /* neither "peer" nor "peers" */
 	else if (!strcmp(args[0], "disabled")) {  /* disables this peers section */
 		curpeers->state = PR_STSTOPPED;
diff --git a/src/cli.c b/src/cli.c
index ae5e4e8e3..0cace77a7 100644
--- a/src/cli.c
+++ b/src/cli.c
@@ -303,7 +303,7 @@ static int stats_parse_global(char **args, int section_type, struct proxy *curpx
 			l->default_target = global.stats_fe->default_target;
 			l->options |= LI_O_UNLIMITED; /* don't make the peers subject to global limits */
 			l->nice = -64;  /* we want to boost priority for local stats */
-			global.maxsock += l->maxconn;
+			global.maxsock++; /* for the listening socket */
 		}
 	}
 	else if (!strcmp(args[1], "timeout")) {
@@ -2528,8 +2528,9 @@ int mworker_cli_proxy_new_listener(char *line)
 		/* don't make the peers subject to global limits and don't close it in the master */
 		l->options |= (LI_O_UNLIMITED|LI_O_MWORKER); /* we are keeping this FD in the master */
 		l->nice = -64;  /* we want to boost priority for local stats */
-		global.maxsock += l->maxconn;
+		global.maxsock++; /* for the listening socket */
 	}
+	global.maxsock += mworker_proxy->maxconn;
 
 	return 0;
 
@@ -2598,7 +2599,7 @@ int mworker_cli_sockpair_new(struct mworker_proc *mworker_proc, int proc)
 		/* it's a sockpair but we don't want to keep the fd in the master */
 		l->options &= ~LI_O_INHERITED;
 		l->nice = -64;  /* we want to boost priority for local stats */
-		global.maxsock += l->maxconn;
+		global.maxsock++; /* for the listening socket */
 	}
 
 	return 0;