This week though, Savage got to share a practice facility with another pretty good quarterback role model. He was working with some receivers when Broncos quarterback Peyton Manning walked up to him unsolicited.
"I was like, 'Guys, you go. I'm going to talk to Peyton for a little bit,'" Savage said with a bit of a smile.
The reigning league MVP asked the rookie quarterback how he was mentally, how he was faring in his first NFL training camp.
"I'm not going to lie -- I got a little starstruck when I first saw him," Savage said. "It was pretty unique to go out there and watch one of the greatest play."
The positions in which the two came into the league are different. Manning was the first overall pick of the Indianapolis Colts, immediately expected to change a franchise. Savage was a fourth-round pick this May, a product of the Texans' patience at the position. He's not expected to start right away -- he's a project with size, arm strength, intelligence and a nomadic college football career that gave him little chance to develop. Savage is currently third on the Texans' depth chart after starter Ryan Fitzpatrick and Case Keenum.
Savage and Manning found common ground in how hard it is for a quarterback to come into the NFL.
"He kind of reassured me of the rookie grind and how it is for a rookie," Savage said. "It was good, it was good to hear. Just when you're not in, get as many mental reps as you can. Just keep grinding because he said it'll be a long year, but at the same time it's gonna be fun.
"... It's good to hear that he went through some moments, too, where he had to grind through it."
Manning threw a league-high 28 interceptions in his rookie season in 1998. The Colts went 3-13 that year, but enjoyed a dominant run with Manning for the next decade.
"It is a process," Savage said. "Knowing that, obviously as a quarterback you don't want to lose games and throw a bunch of picks. You don't want to say it's OK because Peyton did it. You want to do the best you can do. But just take kind of his work ethic and put it on the field."
Savage watched that work ethic and its fruits this week. He saw Manning's command of his team, and how much his receivers respect him. He knew that didn't come easily.
Said Savage: "Everyone knows he's probably one of the hardest working quarterbacks in the history of the game."