It's one of five changes to the side that started at the Stoop last weekend with Darren Dawidiuk, Lua Lokotui, Dan Robson and Henry Trinder all returning to the starting line up.
Gloucester scored three tries against Quins, having scored four against Wasps in the previous round of Premiership action.
Both games resulted in defeat, and Davies stressed this week that Friday night against the Tigers is a big game for a number of reasons.
"It's always a huge game in its own right, but it's particularly important for us at this stage where we're desperate for a win. We've not performed anywhere near the levels we expect of ourselves and we need this win. It's a crucial fixture for us.
"Leicester are very set piece orientated, they play a set piece game, they play it very well. They'll come here with a physical edge and look to squeeze us at the set piece. That's what they do week in, week out.
"But they've also got a lot of quality in their side that can take advantage of the opportunities that that pressure creates. It's a tried and trusted formula and they do it very well."
This fixture has produced some titanic tussles in seasons gone by, and Davies hopes that his side rise to the occasion.
"Kingsholm is a fantastic place, Friday night is a fantastic time to play there and what better time to put on a big performance than when we're up against it a little bit. We need a big performance, we need a result and it's going to be a huge game for us."
Rob Cook; Shane Monahan, Henry Trinder, Billy Twelvetrees, Jonny May; Freddie Burns, Dan Robson; Nick Wood, Darren Dawidiuk, Shaun Knight; Lua Lokotui, James Hudson; Tom Savage (capt), Matt Kvesic, Ben Morgan
Huia Edmonds, Yann Thomas, Rupert Harden, Elliott Stooke, Matt Cox, Jimmy Cowan, Mike Tindall, Martyn Thomas