Murchie makes his 84th start and 100th appearance at full-back, with Taqele Naiyaravoro continuing on the right wing and Rory Hughes coming in for Sean Lamont on the opposite side.
Glenn Bryce continues at outside centre, with Dunbar set to make his first appearance for the Warriors in almost five weeks at inside centre, after recovering from a thigh injury.
Duncan Weir is once again named at fly-half, with Blair recovering from concussion and starting at scrum-half in place of Ali Price.
Jerry Yanuyanutawa comes in for Gordon Reid at loosehead, Brown returns from an ankle injury at hooker and after scoring a brace of tries against Munster, Sila Puafisi keeps his place at tighthead.
USA international Greg Peterson comes in for Tim Swinson in the second-row and starts alongside Leone Nakarawa.
Rob Harley is named at blindside flanker, Simone Favaro comes in for Chris Fusaro at openside and Josh Strauss once again starts at Number 8 and captains the side.
Gordon Reid, Zander Fagerson and Grayson Hart all return from the Scotland squad and are named amongst the replacements.
Glasgow Warriors head coach Gregor Townsend said: "We're expecting a tough game in Newport tomorrow night. Rodney Parade can be a difficult environment for away teams and the Dragons will be looking to get back to winning ways.
"We've been boosted by the return of Alex (Dunbar), Mike (Blair) and Fraser (Brown) this week. They've worked hard to get back to full fitness and it's great to see them all back in the starting line-up."
Glasgow Warriors team to play the Dragons, GUINNESS PRO12, Rodney Parade, Thursday 25 February (kick-off 7.05pm) - live on BBC ALBA:
15. Peter Murchie
14. Taqele Naiyaravoro
13. Glenn Bryce
12. Alex Dunbar
11. Rory Hughes
10. Duncan Weir
9. Mike Blair
1. Jerry Yanuyanutawa
2. Fraser Brown
3. Sila Puafisi
4. Greg Peterson
5. Leone Nakarawa
6. Rob Harley
7. Simone Favaro
8. Josh Strauss (Captain)
Replacements
16. James Malcolm
17. Gordon Reid
18. Zander Fagerson
19. James Eddie
20. Chris Fusaro
21. Grayson Hart
22. Fraser Lyle
23. Lee Jones
Not available due to injury: Alex Allan (concussion), Adam Ashe (shoulder), Kevin Bryce (shoulder), Ryan Grant (arm), Tyrone Holmes (foot), Gregor Hunter (concussion), Pat MacArthur (glut / hamstring), Henry Pyrgos (wrist), Fergus Scott (shoulder) and Richie Vernon (shoulder).