Spurs last progressed far in the competition in 2012, when they reached the last four. That campaign came to a bitter end, however, as Chelsea thrashed the north London side 5-1 in the semi-final.
But, with Tottenham having reached the last four of the Capital One Cup this term, Mauricio Pochettino's side certainly have what it takes to go deep into another knockout competition.
And that's exactly what 23-year-old midfielder Mason wants his team to do - although he acknowledges the tough test they face against Leicester City tomorrow afternoon.
"This is another big game for us. It will be tough against Leicester but we've a home draw and we'll look to attack," he said.
"The FA Cup is special here. Hopefully we’ll have a good run and give ourselves another chance to play at Wembley."
The fourth-round clash between Spurs and Leicester takes place at 3pm tomorrow, before Tottenham then travel to Sheffield United for the second leg of their League Cup semi-final.
The prospect of a Wembley appearance, then, is certainly a promising one for Pochettino's men. They are one game away from playing at the famous stadium in the Capital One, while they will only have to reach the last four again to do so in the FA Cup.
First up for Tottenham, though, are a Leicester side who beat Newcastle United in the last round.