diff --git a/src/backend.c b/src/backend.c
index 3f6e7daa2..e94fc1faf 100644
--- a/src/backend.c
+++ b/src/backend.c
@@ -1401,6 +1401,9 @@ int connect_server(struct stream *s)
 		if (srv_conn)
 			srv_conn->target = s->target;
 		srv_cs = NULL;
+
+		if ((s->be->options & PR_O_REUSE_MASK) == PR_O_REUSE_NEVR)
+			conn->flags |= CO_FL_PRIVATE;
 	}
 
 	if (srv_conn && srv && was_unused) {
diff --git a/src/mux_fcgi.c b/src/mux_fcgi.c
index 76e93e434..7cd561219 100644
--- a/src/mux_fcgi.c
+++ b/src/mux_fcgi.c
@@ -3540,9 +3540,6 @@ static void fcgi_detach(struct conn_stream *cs)
 
 	if (!(fconn->conn->flags & (CO_FL_ERROR|CO_FL_SOCK_RD_SH|CO_FL_SOCK_WR_SH)) &&
 	    (fconn->flags & FCGI_CF_KEEP_CONN)) {
-		/* Never ever allow to reuse a connection from a non-reuse backend */
-		if ((fconn->proxy->options & PR_O_REUSE_MASK) == PR_O_REUSE_NEVR)
-			fconn->conn->flags |= CO_FL_PRIVATE;
 		if (fconn->conn->flags & CO_FL_PRIVATE) {
 			if (!fconn->conn->owner) {
 				fconn->conn->owner = sess;
diff --git a/src/mux_h1.c b/src/mux_h1.c
index 80a7b7db5..6f594410d 100644
--- a/src/mux_h1.c
+++ b/src/mux_h1.c
@@ -2453,10 +2453,6 @@ static void h1_detach(struct conn_stream *cs)
 			goto release;
 		}
 
-		/* Never ever allow to reuse a connection from a non-reuse backend */
-		if ((h1c->px->options & PR_O_REUSE_MASK) == PR_O_REUSE_NEVR)
-			h1c->conn->flags |= CO_FL_PRIVATE;
-
 		if (!(h1c->conn->owner) && (h1c->conn->flags & CO_FL_PRIVATE)) {
 			h1c->conn->owner = sess;
 			if (!session_add_conn(sess, h1c->conn, h1c->conn->target)) {
diff --git a/src/mux_h2.c b/src/mux_h2.c
index fc35c66a2..22c67b02a 100644
--- a/src/mux_h2.c
+++ b/src/mux_h2.c
@@ -3942,9 +3942,6 @@ static void h2_detach(struct conn_stream *cs)
 	if (h2c->flags & H2_CF_IS_BACK) {
 		if (!(h2c->conn->flags &
 		    (CO_FL_ERROR | CO_FL_SOCK_RD_SH | CO_FL_SOCK_WR_SH))) {
-			/* Never ever allow to reuse a connection from a non-reuse backend */
-			if ((h2c->proxy->options & PR_O_REUSE_MASK) == PR_O_REUSE_NEVR)
-				h2c->conn->flags |= CO_FL_PRIVATE;
 			if (h2c->conn->flags & CO_FL_PRIVATE) {
 				if (!h2c->conn->owner) {
 					h2c->conn->owner = sess;