The Welsh duo were both among the replacements in last weekend’s defeat by Racing 92 in Paris but have a place in the starting team for the final fixture in Pool 1.
Roberts joins Peter Betham at centre in the only change to the backline from last week, while Lachlan McCaffrey moves across the back row to accommodate Hamilton at No8.
Greg Bateman comes into the front row alongside England internationals Tom Youngs and Dan Cole.
Dom Barrow, who has come through a stand-down period after concussion, is included in the matchday 23 for the first time since the Round 2 victory over Racing at Welford Road and there is also a place among the replacements for fly-half Owen Williams after recovering from an elbow injury.
Tickets for Saturday are still available from the Tigers ticket office. Call in at Welford Road, phone 0116 319 8888 (option 2) or click here to book online.
Leicester Tigers (v Glasgow Warriors, Welford Road, Saturday 5.30pm)
15 Mathew Tait
14 Adam Thompstone
13 Peter Betham
12 Jack Roberts
11 Tom Brady
10 Freddie Burns
9 Ben Youngs
1 Greg Bateman
2 Tom Youngs (c)
3 Dan Cole
4 Ed Slater
5 Mike Fitzgerald
6 Mike Williams
7 Lachlan McCaffrey
8 Luke Hamilton
Replacements
16 Harry Thacker
17 Ellis Genge
18 Pat Cilliers
19 Dom Barrow
20 Will Evans
21 Sam Harrison
22 Owen Williams
23 Matt Smith
Glasgow Warriors: 15 Stuart Hogg, 14 Tommy Seymour, 13 Mark Bennett, 12 Alex Dunbar, 11 Lee Jones, 10 Finn Russell, 9 Ali Price, 1 Gordon Reid, 2 Fraser Brown, 3 Zander Fagerson, 4 Tim Swinson, 5 Jonny Gray (c), 6 Robert Harley, 7 Ryan Wilson, 8 Josh Strauss. Replacements: 16 Pat MacArthur, 17 Alex Allan, 18 D'Arcy Rae, 19 Brian Alainu'uese, 20 Chris Fusaro, 21 Henry Pyrgos, 22 Nick Grigg, 23 Pete Murchie
