Skipper Murphy has recovered from a knee injury, while Youngs has been released from the England squad after missing last week's match at Gloucester.
Salvi returns to the back row at Welford Road, and is joined by Steve Mafi and summer signing Richard Thorpe.
There are calls for Marcos Ayerza, George Chuter and Martin Castrogiovanni in the front row, and George Ford starts at fly-half.
Dan Bowden returns to the matchday squad and back-rower Michael Noone is included among the replacements for the first time.
Meanwhile, Northampton will be looking to bounce back from home reverse to Saracens last weekend.
Flanker Calum Clarke returns to the starting XV after completing a 32-week suspension imposed for breaking the arm of Leicester hooker Rob Hawkins in last season's LV= Cup final.
Phil Dowson, released by England, captains the side but Lee Dickson, Tom Wood, Courtney Lawes, Dylan Hartley and Stephen Myler are all absent.
Northampton director of rugby Jim Mallinder said: "We've looked at our past performances and there have been bits where we've played well and bits where we haven't.
"Of course we've worked on those areas and while it's going to be a massive challenge at Welford Road it's one that we're up for."
Leicester Tigers: 15 Geordan Murphy (c), 14 Scott Hamilton, 13 Matt Smith, 12 Anthony Allen, 11 Niall Morris, 10 George Ford, 9 Ben Youngs, 8 Richard Thorpe, 7 Julian Salvi, 6 Steve Mafi 5 Graham Kitchener, 4 Louis Deacon, 3 Martin Castrogiovanni, 2 George Chuter, 1 Marcos Ayerza.
Replacements: 16 Jimmy Stevens, 17 Boris Stankovich, 18 Fraser Balmain, 19 Ed Slater, 20 Michael Noone, 21 Sam Harrison, 22 Dan Bowden, 23 Vereniki Goneva.
Northampton Saints: 15 Tom May 14 Ken Pisi 13 George Pisi 12 Dom Waldouck 11 Jamie Elliott 10 Ryan Lamb 9 Martin Roberts 8 GJ Van Velze 7 Phil Dowson (capt) 6 Calum Clark 5 Mark Sorenson 4 Samu Manoa 3 Brian Mujati 2 Mike Haywood 1 Soane Tonga'uiha.
Replacements: 16 Ross Mcmillan 17 Alex Waller 18 Paul Doran Jones 19 Ben Nutley 20 Rhys Oakley 21 Alex Day 22 Luther Burrell 23 Vasily Artemyev.
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