The only change to the back three sees Sean Lamont replace Tommy Seymour on the left wing. Stuart Hogg continues at full-back and Taqele Naiyaravoro lines up on the right wing.
Mark Bennett and Peter Horne continue their centre partnership, while Duncan Weir comes in for Finn Russell at fly-half and Ali Price replaces Grayson Hart at scrum-half.
In the pack Gordon Reid starts at loose-head, with Ryan Grant named on the bench, while Fraser Brown retains his place at hooker and Zander Fagerson comes in for Sila Puafisi at tight-head.
After missing last weekend's defeat captain Jonny Gray returns to the side and partners USA international Greg Peterson in the engine room, with Leone Nakarawa named amongst the replacements.
The only change to the backrow sees Josh Strauss return at Number 8 in place of Adam Ashe. Chris Fusaro continues at openside and Wilson wears the Number 6 jersey.
Glasgow Warriors head coach Gregor Townsend said: "A number of players who featured last weekend have been given another opportunity and they will be determined to put in a much better performance this weekend.
"The game has been sold out for a couple of months and this is a game our supporters really look forward to.
"It will be a special day for Ryan (Wilson) who makes his 100th appearance for the club. He always gives everything for the jersey and thoroughly deserves to join our centurions club."
Glasgow Warriors team to play Edinburgh Rugby, GUINNESS PRO12 (1872 Scottish Cup, second leg), Scotstoun Stadium, Saturday 2 January (kick-off 5.15pm) - live on Sky Sports:
15. Stuart Hogg
14. Taqele Naiyaravoro
13. Mark Bennett
12. Peter Horne
11. Sean Lamont
10. Duncan Weir
9. Ali Price
1. Gordon Reid
2. Fraser Brown
3. Zander Fagerson
4. Greg Peterson
5. Jonny Gray (Captain)
6. Ryan Wilson
7. Chris Fusaro
8. Josh Strauss
Replacements
16. Shalva Mamukashvili
17. Ryan Grant
18. Sila Puafisi
19. Leone Nakarawa
20. Hugh Blake
21. Grayson Hart
22. Peter Murchie
23. Lee Jones
Not available due to injury: Mike Blair (concussion), Kevin Bryce (shoulder), Mike Cusack (ribs), Alex Dunbar (groin), Simone Favaro (ankle), Rob Harley (thumb), Tyrone Holmes (foot), Pat MacArthur (jaw), Henry Pyrgos (wrist), Fergus Scott (shoulder), Tim Swinson (concussion) and Richie Vernon (shoulder).
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