The Argentinian, who saw his side conclude their pre-season preparations with a 1-1 draw against Inter Milan on Sunday, said: "I don't believe he's going to be ready for the start of the season".
Sessegnon wasn't named in the Fulham line - he's said to be nursing a hamstring injury - but The Sun say that Spurs are set to ignore the injury and push ahead for one of English football's true young talents who they think they can get for £25million.
The 23-year-old joined Betis on an initial loan deal from Paris Saint-Germain last summer but the Spaniard's activated a £20m option-to-buy clause in April after seeing Lo Celso provide 16 goals and 6 assists last season. "We have to pay attention to what is going on in his body, but we are here to try to help him".
Tottenham fans will surely rate Alderweireld as worth more than the Roman offer, but the North London club risk losing the Belgium global for nothing next summer when his contract runs out.
"With Juan I think the medical staff are going to update in the next few days. We hope he can recover as soon as possible", the manager said of his fellow Argentine.
"We are going to arrive in a very good condition [for the first game], but maybe not in an ideal condition".
With the transfer window closing on Thursday, losing Alderweireld and not replacing him would be a disastrous option for Tottenham and irk Mauricio Pochettino. "I am happy with my squad".
"Every season we are always open to improve the squad and to try to find the right players to be stronger and better and there are still four days".
The Daily Record says Spurs held talks with Sporting last week and saw an opening £45.7m bid rejected but I suspect their pursuit of the Portuguese global will be over if Lo Celso completes his proposed move to the Londoners.
However, Stefano Sensi pulled one back for the Italian outfit in the 36 minute.