After a 1-1 draw with Bosnia and Herzegovina in their Group B opener in Toronto, Canada have moved to Vancouver for their next two games.
Although Davies, 25, took part in some of the warm-ups for Monday's session, a team official said he was still not in full training ahead of Thursday's game against Qatar.
"He (Davies) is one of the best players on our team, he's a world-class player, so obviously to have him in the lineup would be amazing," defender Joel Waterman told reporters.
"We have complete confidence in the roster from one to 26, and whoever can step in to play, they're going to do a great job."
All four teams in the group have one point, one goal scored, and one conceded ahead of the second round of games on June 18, with Switzerland taking on Bosnia in Los Angeles before Canada's clash with Qatar in Vancouver later on Thursday.