The hosts could temporarily move back into second place with a win, while United are looking to continue their recent victorious streak to stay in touch with the top four.
Pochettino may just feel a little extra pressure on his shoulders than usual heading into this one considering he has been so heavily linked with the Manchester United post.
It is not exactly a job interview - his good work with Spurs so far should speak volumes for what he would bring to the role - but should he want to take over at Old Trafford then a victory over Ole Gunnar Solskjaer, one of his competitors for the job, would only enhance his credentials further.
Of course, his current focus will be entirely on Tottenham, and should they continue on their current trajectory then it is possible that Pochettino would see a move from North London to Manchester as a step in the wrong direction.
Spurs are 10 points above United in the table ahead of Sunday's showdown, and victory would lift them up into second place - at least until Manchester City take on Wolverhampton Wanderers on Monday night.
Six points separate Pochettino's side from league leaders Liverpool as things stand, although Spurs have been in good enough form to keep in touch and will be ready to pounce on any more slip-ups from a side that has lost their last two games.
Tottenham have won 15 of their last 18 outings across all competitions, including all three so far in 2019 without conceding a goal - scoring 11 in the process too.
A 7-0 win over Tranmere Rovers in the FA Cup is the biggest reason behind those impressive statistics, but Tottenham also picked up a 3-0 triumph at Cardiff City in their most recent league outing and overcame Chelsea in the first leg of their EFL Cup semi-final in midweek.
There is still work to do when they take a one-goal advantage to Stamford Bridge later this month, but it is a very good chance for the club to end their 11-year trophy drought, not to mention pick up a first piece of silverware under Pochettino.
Indeed, Pochettino is yet to win a single major trophy in his managerial career, although he will not have his mind on the EFL Cup alone with Spurs still in contention in all four competitions this season.
Success in any may be enough to help convince the Argentine that he can achieve his goals with Spurs, although it is also only likely to increase United's interest in appointing him as Jose Mourinho's permanent successor.
Recent Premier League form: WWWWLW
Recent form (all competitions): WWLWWW
Pochettino may not be treating this one as a job interview, but Solskjaer could be forgiven for doing so having made no secret of his desire to land the role on a permanent basis.
The Norwegian has certainly not done his chances any harm at all so far, but a victory over a man still understood to be the club's first choice would be the biggest feather in his cap yet.
Indeed, Solskjaer has already admitted that Sunday's match will provide him with his first real test as United boss, having been handed a relatively kind start so far against Cardiff, Huddersfield Town, Bournemouth, Newcastle United and Reading.
Nonetheless, it has still been a flying start to his managerial career at the club, and should he make it six wins from six this weekend then it would be the best ever start by a Manchester United boss - surpassing the great Sir Matt Busby.
Mourinho's exit has surely played some role in such a dramatic turnaround in form over such a short period of time, but those momentum boosts only last so long and Solskjaer must be given credit for aiding that transformation.
It is not just the results which have been impressive either; Solskjaer has restored United's attacking freedom - they have scored 16 goals in their four outings - and is beginning to get the best out of the big names who were underperforming so often when Mourinho was in charge.
There has even been an improvement defensively, with Saturday's 2-0 FA Cup win over Reading securing back-to-back clean sheets for the first time all season.
Every box has been ticked so far, then, but Solskjaer is not wrong when he describes this match as his biggest challenge yet and, even putting aside the sub-plots surrounding the managers, it will be fascinating to see how a rejuvenated United side fare away to an in-form Tottenham team.
Such a poor start to the season means that a Champions League place is now the ceiling of United's ambitions, and their recent improvement has seen them close the gap on the top four to six points.
Chelsea and Arsenal both play before them this weekend but, just like Spurs are doing with Liverpool and Man City, the Red Devils must ensure that they are there to capitalise on any slip-up from those above them in the table.
Realistically the result of this match is unlikely to have a decisive bearing on which manager United go for in the summer, but if Solskjaer can somehow secure a top-four spot this term then it will surely be very difficult to look past the interim boss.
Recent Premier League form: WLWWWW
Recent form (all competitions): LWWWWW
Paul Pogba is fit to feature after recovering from a leg injury he sustained against Newcastle in their last league game.
Alexis Sanchez made his first start since November in the FA Cup but limped off with a hamstring injury which leaves him doubtful this match.
As for Spurs, Son Heung-min is expected to start in what will be his final game for the club before jetting off to the Asian Cup with South Korea.
Harry Kane will lead the line alongside his in-form strike partner, with Pochettino having favoured two up front and a diamond midfield four in recent matches.
Hugo Lloris will definitely return to the side after missing out in the EFL Cup on Tuesday night, but aside from that changes could be minimal for the hosts.
Mousa Dembele is a doubt, but looks to have played his final game for the club anyway amid reports linking him with a move to China.
Tottenham possible starting lineup:
Lloris; Trippier, Sanchez, Alderweireld, Rose; Sissoko, Winks, Alli, Eriksen; Son, Kane
Man Utd possible starting lineup:
De Gea; Young, Lindelof, Jones, Shaw; Herrera, Matic; Lingard, Pogba, Martial; Rashford
Head To Head
These two sides have alternated between wins and defeats in their last eight meetings across all competitions, while the last 14 have seen six Tottenham wins to five for Man Utd.
Gone are the days when United dominated this fixture, then, although Spurs could this weekend record back-to-back triumphs over the Red Devils across all competitions for the first time since 1990.
United have not won away to Spurs since March 2012, losing each of their last three such visits.
We say: Tottenham 2-1 Man Utd
The good form of both teams makes this a difficult one to call. United are flying at the moment but this is by far their biggest test under Solskjaer, and their past two performances have just waned enough to hint at a Spurs win in this one.