Although Frank de Boer is being heavily touted in the press as a potential replacement, Southampton’s Mauricio Pochettino has also been mentioned as a possible target for the North London club.
The former Espanyol boss has admitted that his future is up in the air with only one year left on his contract with the South coast club – and also claimed that he may well have taken Southampton as far as he can.
"It is clear right now that there's a project that is finishing. These five years are finishing,” Pochettino told The Sunday Express.
"The main goal was to promote Southampton to the Premier League. That has been done and now we start a new project.
"At the end of the season we will sit down, talks will be had and it will clear the air.
"If you look at the last ten years in the Premier League you will see it is always the same seven teams that finish in the top seven. Perhaps it's a different order but it's the same top seven.
"We have come as far as we could. We have done everything we could and our position this season is eighth place.
"The fact is we have been fighting against amazing top clubs such as Manchester City, a club that invests millions, that has amazing financial resources and the capacity also to generate even more money and financial resources.
"In order to try to reach their level we need to have a major international budget resourcing and try to match them on their own terms.
"That needs to be spoken about by the owner and by the president of this football club if that investment can happen."
Given that Tottenham have significantly more transfer resources than Southampton, Pochettino may well be tempted to jump ship.
The Saints boss has refused to commit to his current side but stated that his future will be sorted out in the near future.
"David Moyes' contract at Manchester United was terminated. It showed that in football you cannot take anything for granted and you have to try to do as best as you can in the moment and live the moment. In the future nobody knows,” Pochettino continued.
"Once the season has ended we will talk with the club and everything will be decided.
"It's not the end of the season yet, there's still one more game left and once the end of the season comes then the talks will be had.
"The first thing that we need to do is analyse what has been happening at this football club and what is happening right now and see how far this football club can go.
"Everyone involved with Southampton, the whole club and the supporters, deserves to know."
Pochettino’s appointment was treated with derision from the Southampton fans due to the stellar work of Nigel Adkins in leading the club to the top tier.
However, the South American’s expansive brand of football has improved the Saints and progressed some of their young stars.