Dunbar partners Sam Johnson in midfield, outside a brand-new half back combination of Henry Pyrgos and Peter Horne.
The back-three remains unchanged, DTH van der Merwe and Tommy Seymour starting either side of Stuart Hogg.
Alex Allan and Zander Fagerson start either side of Fraser Brown in the front row.
Scott Cummings comes into the boiler room, joining Jonny Gray.
Callum Gibbins captains the side named on the open-side flank with Rob Harley occupying the number 6 jersey and Matt Fagerson is at Number 8.
Meanwhile, Oli Kebble sustained an ankle injury in the game against Scarlets which will rule him out for the remainder of the season.
Ryan Wilson sustained a chest injury in the same game and is expected to be unavailable for the next few weeks.
Glasgow Warriors Head Coach Dave Rennie said: “It was a pretty flat performance last week. We created opportunities but our lack of accuracy let the foot off the throat converting just one of our seven line breaks. Against quality sides, you’ll get punished.
“Connacht lead the competition in ball carries with the ability to look after possession for long periods of time. It will be a great test of our defensive resilience.
“Alex and Fraser come back in. We have some real quality in midfield at our disposal, and Alex gets a crack this week. He has trained and prepared really well for the past few weeks so I’m looking forward to seeing him back in a Warriors jersey.
“Fraser has been dogged with injury, the most recent an ankle injury against Italy. His experience and physicality will be welcomed.”
Glasgow Warriors team to play Connacht in the Guinness PRO14, Friday 13 April, kick off 7.35pm – live on BBC ALBA. You can follow the game on Twitter @GlasgowWarriors. Glasgow Warriors appearances in brackets:
15. Stuart Hogg (104)
14. Tommy Seymour (112)
13. Alex Dunbar (108)
12. Sam Johnson (38)
11. DTH van der Merwe (98)
10. Peter Horne (135)
9. Henry Pyrgos (143)
1. Alex Allan (70)
2. Fraser Brown (71)
3. Zander Fagerson (65)
4. Scott Cummings (35)
5. Jonny Gray (84)
6. Rob Harley (180)
7. Callum Gibbins CAPTAIN (11)
8. Matt Fagerson (22)
16. Grant Stewart (6)
17. Jamie Bhatti (24)
18. Siua Halanukonuka (13)
19. Kiran McDonald (11)
20. Chris Fusaro (139)
21. Ali Price (55)
22. Finn Russell (77)
23. Niko Matawalu (91)
Not available due to injury: Adam Ashe (ankle), Oli Kebble (ankle), Paddy Kelly (ankle), Pat MacArthur (shoulder), Leo Sarto (shoulder), Tim Swinson (thigh) and Ryan Wilson (chest).