If in the near future, I don't think that Tottenham will be able to steal the Premier League trophy because the dominance of Man City and Liverpool is still hard to break. However, if Conte is given plenty of time and of course sufficient budget so that he can sign players who are part of his plans, I think Tottenham will have that opportunity. At least Tottenham can be a stumbling block for Man City and Liverpool.
Competition for the Premier League champions in the last few seasons has been going extraordinary. Man City and Liverpool have been in tight competition in the last three seasons. Next season, Manchester City and Liverpool will clearly be favorites again in the race for the Premier League title. However, other teams can also tackle their pace. Tottenham and Chelsea are the favorite teams that will damage the superiority of The Citizen and the Reds. Currently Chelsea and Tottenham are improving their squads to become serious challengers.
Let's face it, in the English premier league there are at least 7 teams constantly fighting for the top spot, so it makes no sense to say that these two teams will fight for the top spot and the other two for the other one. There's a lot of unpredictability in this league Maybe next season some small club will win the league like Leicester City did in 15/16
But if look at the potential, the top position of the premier league standings will probably not change much, at least I predict it will be filled, city, liverpool, chelsea, tottenham, and man united. For clubs below that the chance is very small but it doesn't rule out the possibility
By the way I saw the opportunity of Gabriel Jesus to leave Man City, so which club to choose because so far Arsenal and Tottenham are competing for the 25-year-old player?
On the whole you are right, these teams are constantly fighting amongst themselves. I do not know about Gabriel myself, both teams are good and their conditions are quite acceptable, but I think the style would suit him more Arsenal, he will be more comfortable there, and Arsenal would not mind to sign such a player, he can certainly strengthen the squad