Saracens, the defending Aviva Premiership champions, secured their place in the knockout stages with a battling 26-20 victory over Treviso.
Mark McCall's men - England's sole representatives in the last eight - will now take on Clermont during the opening weekend in April, with holders Leinster or Cardiff Blues waiting in the last four.
And former South Africa skipper Smit, who spent a season at Clermont, knows Saracens face a daunting prospect against the Top 14 side.
"Clermont are a fantastic club with quality players throughout the squad," said the Saracens hooker.
"It is going to be a massive challenge for us, but one which we cannot wait for.
"I know from my time there that they always want to do well in the Heineken Cup. But at Saracens, we are looking to create our own legacy with the squad of players we have."
The other half of the draw sees Munster meet Ulster in Limerick, with the winner facing either Edinburgh or four-time European champions Toulouse.
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.