Reid limped off with a groin injury in West Ham's 3-2 loss to Leicester City.
Reid will not be replaced in the squad and striker Chris Wood will captain the side in Reid's absence.
"It's disappointing he is not coming because he is such an important player, he is a great character and I know how much he was looking forward to being here," said coach Anthony Hudson.
"But with regards to the team we have been in this position many times. We have got a good squad, we are adaptable and we have enough in this squad to deal with this tour so we are prepared for this."
