Lancaster confirmed that Wade was likely to start in Saturday's game against Argentina before straining his hamstring, but said that it is not going to keep the player out for long.
"There was a good chance Christian was going to start," Lancaster told Sky Sports News. "He trained in the squad on Tuesday afternoon, but unfortunately his hamstring tightened up as he reached down for a ball.
"It's a grade one hamstring injury, so he's probably going to be alright by Sunday or Monday, so there's a good chance he'll be available for the New Zealand game."
Marland Yarde is also missing for England against Argentina.