Quins head to south-west France after wrapping up Pool Three one game inside the distance and securing a home last-eight tie.
They have collected 24 points from a possible 25 so far in defeating Biarritz at home, Connacht (twice) and Zebre (twice), scoring 27 tries.
That try tally is the tournament's best this term, better than either of the only two clubs - Clermont Auvergne and Toulon - who could overhaul them as number one seeds.
If Quins win with a bonus point, then no-one can catch them, but a victory alone should still be enough given that Clermont and Toulon would require bonus-point wins over the Scarlets and Montpellier, respectively, on Saturday, while also scoring a hatful of tries.
Quins boss Conor O'Shea has made three changes from the team that thumped Connacht 47-8 last Saturday.
Jordan Turner-Hall and George Lowe resume their centre partnership instead of Matt Hopper and Tom Casson, while Tom Guest features at number eight in place of Nick Easter. Full-back Mike Brown, meanwhile, will make his 200th first-team appearance.
Biarritz, the 2006 and 2010 beaten Heineken Cup finalists, have an outside chance of securing one of two best runners-up spots that offer quarter-final places, but they would require a bonus-point win and then for other results to work in their favour.
Their team selection suggests they will go for it, though, with France internationals Damien Traille, Dimitri Yachvili, Fabien Barcella and Imanol Harinordoquy among those who start.
"We will do everything to get this qualification, although we know it does not depend on us," Harinordoquy said.
And Yachvili added: "We are playing against one of the best teams in Europe, the best current English team.
"We have seen their previous performances, which have been of a very high standard. We will try to up our game and try to meet the challenge that awaits us."
Connacht and Zebre will complete the Pool Three picture when they meet in Galway on Friday night.
Clermont and Toulon, meanwhile, should clinch their quarter-final berths on Saturday, when Pool Four winners Ulster will continue the push for a home last-eight fixture by chasing the winning bonus point they need in Castres.
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.
$29.99
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.