It's meant a 40 hour trip around the globe having left the England tour in Argentina, but Teague told the Gloucester Citizen this week that he feels Twelvetrees can make an impact.
"Billy can certainly force his way into test reckoning to my mind. If he were aggrieved that he hadn't made the tour in the first place, then now he has the opportunity to get over there and show what he can.
"The players around him playing in those games are some of the best in the world, so it ought to make his game that much easier. All he'll have to do is play his own game and it's exciting."
Judging by his performance in England's 30-3 win over Argentina last weekend, Twelvetrees is bang in form and that's crucial according to Teague.
"I was listening to Ian McGeechan and he said that from the management perspective they will not look at the players and judge them by pre-tour standards.
"Anyone on the tour at all who hits form at the right time has the chance of making the test side.
"So from the point of view of any player that's what they want to hear. They want to know that if they have a good game and are in strong form that they will be picked ahead of someone else.
"And that is another tradition of the Lions - pick the player best equipped to the job at that moment in time."