"I hope we win another one next year," he said. "No-one has ever won it four times on the trot so that is another record for us to break."
Giggs can add another trophy to his collection in Rome later this month as United look to overcome Barcelona in the Champions League final.
It would go alongside the Club World Cup, the PFA Player of the Year and a landmark 800 appearances for the Red Devils this season alone, Giggs having missed out on the Carling Cup final triumph against Tottenham.
"It has been a special season for me," he said. "I would rather have league titles than personal accolades.
"But I was so happy to win that PFA award at my age. And being a United fan growing up, to play 800 times for the club is brilliant for me.
"It has been a special time for the club since the manager took over. We have been fortunate to win so much, hopefully we can carry it on."