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.
FIFA World Cup 2026
The 2026 World Cup will be held from June 11th to July 19th in the United States, Canada and Mexico. The tournament will feature 48 national teams and will be played in 16 modern stadiums.
Match schedule and times | Group tables | England at the World Cup | Scotland at the World Cup | Team rosters at the World Cup | How to watch the World Cup | Predictions and odds | Which teams could be considered dark horses?