The South Korean turned into substituted via the Italian in the direction of the cease of Tottenham's 2-0 defeat to Chelsea inside the first leg of their League Cup semi-very last on Wednesday.
Conte said he was no longer aware about the damage on the time, however that Son became now likely to be missing until after the global damage, which starts later this month.
That might rule him out of the second one leg of the League Cup semi-final and Premier League suits in opposition to Arsenal, Leicester and Chelsea as Spurs chase a pinnacle-4 spot.
Son, who is the membership's pinnacle scorer in the Premier League this season, can also leave out South Korea's World Cup qualifiers towards Lebanon and Syria.
"It become a peculiar scenario because in opposition to Chelsea, I made substitutions collectively, with Lucas Moura after which Son. But now not for damage, the substitutions, but handiest to attempt to supply them a chunk of relaxation," Conte stated on Friday.
"Then the day after, he felt a chunk of pain in his muscle, in his leg. He had a experiment and now we must make the proper assessment from the doctors.
"He has an damage. I do not know, however probably he will live without training classes till the cease of this cycle, for the international wreck."
Conte additionally hinted that Harry Kane might be rested for Sunday's FA Cup 1/3-spherical tie towards Morecambe.
Conte pinpointed the gulf in high-quality between his squad and Chelsea's for the disappointing bring about midweek, saying he could maintain talks with chairman Daniel Levy on the possibility of recent signings in the January transfer window.
