They had the chance to achieve that goal in 1938 and 1980, but on both occasions the Lions raised their game and won the final matches to avoid going home without a Test victory.
But while history is beckoning for his side, Smit merely wants a repeat of last week's classic encounter.
"Last week's Test was certainly one of the most intense and physical I've ever been involved in - both Tests really. If there wasn't as much physicality in the first Test there was the drama of a tale of two sides," said Smit.
"We took a lead that we thought was unreachable and then the Lions nearly reached it. The second Test had all of that, but in reverse - and with the added fact that it was an absolute battle for every inch.
"I really believe that every player who was involved in that game was involved in what rugby should all be about. It was tight and physical and it is all we have been talking about for a week
"It was a hard Test. But the harder they are, the worse you feel on a Sunday, the more you remember them and enjoy yourself afterwards
"If we could play a Test match like that every week it is going to be difficult for people not to get excited about this game of rugby. It was a classic and one we will never forget."
But while Smit has led his team to their goal of winning the series, and ending 12 years of heartache following the defeat by the Lions in 1997, he knows it could have been a different story and the Lions will still be dangerous in the final test at Coca Cola Park on Saturday.
"The big goal was to win the series. But there is still a massive amount to play for because there won't be another opportunity to play against the Lions for another 12 years - Saturday is another historic game," said Smit
"Emotions were always going to run high in a series like this and it has been a phenomenal series. Paul O'Connell could be sitting here and really feel aggrieved and frustrated that it didn't go his way.
"They have been two tight Test matches, with one to go, and the Lions came here with a phenomenal team, played really well and could have had an opportunity to win both Tests. It has been one of the more exciting series we have had and that's why emotions have run high.
"We've worked hard for victory and every single one of our players will remember this series for the rest of their lives. The games have been tenacious and physical but, after the third one is played and done, no mater what the result, we will have time to spend together and forge relationships that will last forever.
"You want to play those Tests often, although if you had to play them 20 times a year then the average age of retirement would be 24 or 25. But we want to aspire to creating Test matches like that.
"In an ideal world we would have 15 countries playing at that level and it would be a phenomenal sight to see. We have seen in the Confederations Cup how teams have been able to compete against each other and imagine if we had a Rugby World Cup with 10 teams really competing against each other if they got it right."