Fit-again Andrew Whing has the chance to stake his claim for the right-back berth at St Mary's but Poyet has been impressed with Hoyte and could yet offer to extend the 19-year-old's stay on the south coast.
"We are going to make a decision by Saturday. We are going to talk to the player. He was impressive in training," said Poyet.
Meanwhile, former skipper Charlie Oatway and youth coach Steve Brown, who formed the caretaker coaching set-up alongside director of football Martin Hinshelwood before Poyet was appointed, are continuing to work with the first team.
"Steve and Charlie are going to be working with us and at least one of them is probably going to be joining me on the staff," added Poyet.