The 51-year-old German, whose contract officially started on New Year's Day, will start his tenure at the London venue, before attending further games across the Premier League weekend alongside his assistant Anthony Barry.
The Spurs match will give Tuchel the opportunity to see the likes of home pair James Maddison and Dominic Solanke, and Newcastle's Anthony Gordon and Lewis Hall in action.
It shapes as a big match for Australian boss Postecoglou, who is coming under increasing pressure with Spurs on a bad trot having slipped down the table to 11th.
Tuchel and his support team are then due to visit the England training base at St George's Park for the first time next week.
The complex in Staffordshire will be Tuchel and his team's main place of work, and they plan to hold a series of introductory meetings with relevant members of staff across the course of next week.
Tuchel has already indicated his eagerness to meet with Lee Carsley, who led England on an interim basis through the Nations League matches in the autumn.
Carsley has now returned to his role as head coach of the Under-21s, as have others like Ashley Cole who supported Carsley during his time with the senior team.
Other members of Tuchel's support team are also starting work this week.
They include goalkeeping coach Henrique Hilario, who had occupied the same position with Chelsea since 2016.
Nicolas Mayer, who worked with Tuchel at Paris St Germain and Bayern Munich, will be the performance coach and Tuchel is also linking up again with analyst James Melbourne, having crossed paths at Chelsea.
Tuchel's first matches in charge will be the World Cup qualifiers against Albania on March 21 and Latvia on March 24, with his contract running through to the finals of that tournament in the summer of 2026.
