Wales have travelled to Japan without more than 20 front-line players and there are 10 uncapped members of the 27-strong squad.
But Japan tour coach McBryde has challenged the newcomers to emulate the achievements of Warburton and Davies, who made their debuts in North America, during the 2009 Lions tour.
“We’re asking the young players to step up and show what they can do on the international stage,” said McBryde.
“Some of these players have been biding their time and this is their chance to go out and make an impression.
“We have highlighted three individuals [including hooker Richard Hibbard] who were given a similar opportunity four years ago in North America and are now on the Lions tour.
“This could be the first step on the ladder for many of this squad if they can emulate what those three have done.”
Despite being without so many players, Wales still boast a wealth of experience at half-back and in the front five.
And McBryde insists those players have a major role to play in the Far East.
“The front-five is one area we do have experience when you look at the make up of the squad, so we will look to draw upon that,” said McBryde.
“Set-piece is always a crucial part of the game so we can use that experience.
“We’ve identified a group of eight players such as Bradley Davies and Dan Biggar to take on that responsibility and given them a licence to make decisions.
“The spine of the team is there and we’re just excited to see what the game will bring.”
McBryde is the third coach to lead Wales in the space of eight months after Warren Gatland returned from his British and Irish Lions sabbatical for part of last November’s schedule while Rob Howley oversaw the RBS Six Nations success.
And McBryde is loving life in charge of the national squad and insists he is learning every day.
“I’m relishing the challenge but I’m fortunate enough to have very experienced members of the management around me such as Shaun Edwards, Mark Davies and Allan Lewis. Mark Jones also promising young coach and relishing chance,” added McBryde.
“We’re learning as much as the players, especially in a country like Japan. It has been an eye-opener but it’s important to have time to enjoy the country and embrace the different experiences and culture as well as enjoying the rugby on the field.”