It will be a debut appearance in a Glasgow jersey for McLean, whilst Thompson is selected at fly-half after impressing in his cameo off the bench last weekend.
Oli Kebble's return to full fitness sees him come into the lineup at loose-head, joining George Turner and Zander Fagerson in an otherwise unchanged front row.
Richie Gray and Scott Cummings continue in the second row, the former having led the Guinness PRO14 with four lineout steals in last weekend's clash at BT Murrayfield.
Ryan Wilson once again captains the side from the blindside flank, as Tom Gordon and Matt Fagerson round out the pack.
Thompson's first run out at Scotstoun will see him partner Ali Price in the half-backs, with the scrum-half the player with the most club appearances in the Warriors back-line.
Robbie Fergusson comes into the midfield in place of Sam Johnson, the Scotland 7s captain resuming his centre partnership with Nick Grigg.
The back three sees McLean and Lee Jones start on the wings, with Huw Jones getting the nod once more at full-back.
Aki Seiuli rotates to the bench after starting last weekend, as the prop joins Johnny Matthews and Enrique Pieretto as the front-row cover.
Fresh from scoring his first try for the club last time out, Lewis Bean is once again named in the number 19 jersey, whilst TJ Ioane continues in the matchday 23 for the eighth successive fixture.
Jamie Dobie and Brandon Thomson will cover the half-back positions, with Glenn Bryce completing the Warriors squad.
Speaking to glasgowwarriors.org, Head Coach Wilson said: "We wanted to give an opportunity to a few boys we think deserve their shot based on their efforts in training over the last couple of weeks.
"We're excited to see how Ross (Thompson) goes at fly-half and for Rufus (McLean) to get his first run out for the club - he's a young man with an impressive skillset and electric pace.
"At the same time, though, it's all about continuing to gel and grow as a squad.
"We've worked on a few things we learned from last week, and we're excited to get back out at Scotstoun on Friday night."
15 Huw Jones
14 Lee Jones
13 Nick Grigg
12 Robbie Fergusson
11 Rufus McLean
10 Ross Thompson
9 Ali Price
1 Oli Kebble
2 George Turner
3 Zander Fagerson
4 Richie Gray
5 Scott Cummings
6 Ryan Wilson (Captain)
7 Tom Gordon
8 Matt Fagerson
Substitutes
16 Johnny Matthews
17 Aki Seiuli
18 Enrique Pieretto)
19 Lewis Bean
20 TJ Ioane
21 Jamie Dobie
22 Brandon Thomson
23 Glenn Bryce
Unavailable for selection: Alex Allan, Fraser Brown, Robert Harley, Adam Hastings, George Horne, Peter Horne, Sam Johnson, Sean Kennedy, Kiran McDonald, Nikola Matawalu, Leone Nakarawa, Tommy Seymour, Kyle Steyn