The 18-year-old, who initially come up through Ipswich Town’s Academy prior to joining the Spurs youth set-up, has linked up with the Iron and enjoyed a careful, measured debut for his new club in their 2-0 win over Truro City, in the National League.
Braintree boss Steve Pitt said: “He did very well on his debut.
“We were stretched again with injuries, suspensions and an international call up for Tommy Smith but we should have more back in time for our trip to Scunthorpe, next Saturday.”
Logan signed his first professional contract with Spurs in January, 2024.
The Cambridge-born defender joined the North London club’s academy from Ipswich Town in early 2023.
Logan recently made the jump up to under-21 football for Spurs and played for them in their 4-4 draw at League Two side Bristol Rovers in the Vertu Trophy, in August.
Logan is a versatile defender and can play as a left-sided centre-back or left-back.