The Times says Liverpool could be pitted against Leeds in next season's Community Shield if the FA Cup winners are unable to compete in the Wembley curtain-raiser due to European commitments.
The annual fixture traditionally takes place between the Premier League champions and the holders of the FA Cup.
But the FA could invite the winners of the Championship to compete in their place.
Liverpool and Leeds last met in the Charity Shield back in 1992, when Leeds were last champions of England.
Howard Wilkinson's side were victorious over Graeme Souness' men that day, with Eric Cantona scoring a hat-trick in a 4-3 thriller.