The Argentine only arrived from Southampton this summer, and having impressed on the South Coast, he certainly deserves time to build a team in North London.
In January, Pochettino must look to improve his attacking options. Emmanuel Adebayor may have scored against the Magpies but has largely ineffectual this season, whilst last summer's big signing Roberto Soldado continues to disappoint in the Premier League.
That leaves only one other striker at his disposal - Harry Kane. Having joined the club at the age of just 16, Kane has worked his way through the Tottenham ranks and into the first team picture this season.
With six goals in just five Europa League appearances, 21-year-old Kane is starting to prove himself at White Hart Lane, and surely deserves to be starting in the Premier League given the struggles of Adebayor and Soldado.
Yet this week, speculation had linked Kane with a £10m move to high-flying Southampton, with summer signing Shane Long still to find the net for Pochettino's former club.
The rumours also suggested that Southampton forward Jay Rodriguez could head in the opposite direction, but completing such a deal would be a mistake from Tottenham.
Kane is showing huge potential at White Hart Lane, and after also impressing for the England Under-21 side, it's clear that he has a bright future - and that should be at Spurs.
Using him as bait to sign a player who hasn't even played since tearing his anterior cruciate ligament in April would be poor business, as they don't even know what 25-year-old Rodriguez will be capable of after his rehabilitation.
Pochettino may naturally want to bring in a player that he has worked with before, but Kane has the potential to be better than Rodriguez - and handing one of their most promising players to a rival would be a terrible decision.