He said the decision had nothing to do with the contract dispute surrounding the player - both the Phoenix and A-League rivals Central Coast Mariners claim to hold valid contracts for the Wellington-born playmaker.
"Ernie wants to give him a couple more days and not rush him into contact," Dome said.
"He'll play an intrasquad game later this week. Nothing to do with arbitration, it's purely to do with the fact that Ernie doesn't want to rush him. He's been on holiday for a while so he's got to ease him back into it."
A Mariners spokesman said the McGlinchey dispute was in mediation again yesterday.
Professional Footballers Australia is backing McGlinchey's right to play for the Phoenix, while Football Federation Australia is yet to make a ruling on the player's status.
It is understood that a teleconference took place last night between the Phoenix, Mariners, PFA, FFA and an independent arbitrator