Broadcasters and soccer players have been complaining that the constant noise from the vuvuzelas is harming the atmosphere of the games, the BBC reported Sunday.
Jordaan told the BBC if there are grounds to ban vuvuzelas he would consider doing so.
"We have asked for no vuvuzelas during national anthems or stadium announcements," he said. "It's difficult but we're trying to manage the best we can."
The captain of the French team, Patrice Evra, has blamed the noise generated by the long plastic vuvuzelas for his side's poor showing in their opening group game against Uruguay.
"We can't sleep at night because of the vuvuzelas," Evra said. "People start playing them from 6 a.m."