"With European rugby and big games and top-of-the-table clashes, we remind ourselves that the only thing that's important is the next one," said the player who captained the Springboks to the World Cup in 2007 and also skippered the side to a series win over the British & Irish Lions in 2009.
"At the moment that's our semi-final against Toulon so it would be wonderful to finish off such an amazingly enjoyable season with some sort of win.
"You work so hard the entire season and then it all comes down to one or two play-offs games and this is where we are at.
"It would be foolish of us now to think the job is done because everything that we've done and all the work that we've put in comes down to winning one 80 minutes at a time.
"I think we've been good over the season and we've treated every weekend as a final, from the start of the season, it's an old cliché but we remind ourselves of it every time we get around."
And the domestic and European double is still a genuine target for Mark McCall's Premiership pacesetters.
"I think a year ago juggling two competitions would have been a challenge with the squad we had but what we've shown on numerous occasions this year is the ability of everyone in the squad getting chances throughout the season," added Smit, who won a record 111 caps for the Springboks.
"When you get knocked out of the Heineken Cup you say you are glad because you can focus on the Premiership but we wanted to compete in both and at the moment we still have that opportunity.
"It's to our advantage to have the squad we have, having used it in the correct way. I can tell you now there's not too many guys in the Saracens squad that are feeling tired and not pumped for the next couple of weeks.
"We are a team that's built a huge amount of momentum over the last couple of months and confidence is always quite high in our squad."