Vatican spokesman Federico Lombardi said officials could study the Holy See's constitution to determine whether they could change rules that would allow an earlier vote on the new Pope.
There is currently a rule in place that requires a 15 to 20 day waiting period after the papacy becomes vacant.
Lombardi said cardinals already know that this pontificate will end on February 28 and can get to Rome in plenty of time.
He said the Vatican rules are open to interpretation and that "this is a question that people are discussing."
So, we're all shocked at the resignation of the Pope, but what happens next?
Pope Benedict XVI has made the announcement that he will resign as the head of the Roman Catholic Church due to his "advanced age."
Who will follow in Pope Benedict's footsteps? Is it time for an African pope?