The Warriors have made three changes - one in the pack and two in the backs - to the starting XV that lost to Connacht last weekend.
The only change up front sees prop Moray Low swap his place on the bench with Ed Kalman.
In the backs, Duncan Weir will make his first starting appearance for Glasgow in place of Ruaridh Jackson whilst Federico Aramburu returns in place of Hefin O'Hare who is on Scotland 7s duty ahead of the Commonwealth Games in Delhi.
As Weir is handed his first start of the season, Lineen said: "Ruaridh has had three games in a row and I've been really impressed with how he's played. He's got the line moving in both attack and defence but Duncan really deserves his chance.
"I've been really encouraged by both players and how they are pushing each other upwards. It's great to have two such ambitious 10s."
Glasgow Warriors team to play Munster in the Magners League at Firhill on Friday 24 September (kick-off 7.30pm)
15 Bernardo Stortoni
14 DTH van der Merwe
13 Max Evans
12 Graeme Morrison
11 Federico Aramburu
10 Duncan Weir
9 Colin Gregor
1 Jon Welsh
2 Fergus Thomson
3 Moray Low
4 Tom Ryder
5 Richie Gray
6 Robert Harley
7 John Barclay CAPTAIN
8 Richie Vernon
Substitutes from: Dougie Hall, Ed Kalman, Kevin Tkachuk, Aly Muldowney, Ryan Wilson, Calum Forrester, Henry Pyrgos, Ruaridh Jackson, Rob Dewey, Peter Murchie