Sanchez has been out of action since just his sixth Serie A start of the season - five of which have ended with a win - against Cagliari on 14 December (AEDT).
The former Manchester United flop has featured in nine of Inter's 13 league games this term, scoring two goals and providing two assists in 538 minutes on the field.
Chile team-mate Arturo Vidal, who has started eight times, returned from his own injury in the final 24 minutes of Sunday's win over Spezia.
Coach Conte was asked if the national team had contributed to the pair's problems.
Reinaldo Rueda, the Chile coach, clashed with the Nerazzurri during the November international break as both players were called up for World Cup qualifiers.
"I don't know if it's a problem for the national team or the player," Conte said. "But the constant fact is that Sanchez is often injured."
Sanchez was signed on a free transfer from United in August following an initial loan spell and attention is now turning to what business Inter can do in the January window.
Reports in Italy suggest there will need to be departures - notably Christian Eriksen - if Conte is to be able to bring in attacking reinforcements such as Alejandro Gomez or Gervinho.
But the former Italy boss was reluctant to discuss plans ahead of a meeting with the club's board.
"My evaluation is not important now," he said. "What is important is what the club has done in these four months in which we have worked.
"We will meet in the days after the match against Verona, during the Christmas period.
"It is right to have a follow-up to the meeting in August after decisions were made that were accepted by everyone. It is right to sit down and understand what solutions we have in mind and whether we want to face them."
Inter will be top of the table at Christmas should they better rivals Milan's result against Lazio on Wednesday.
However, Conte is pleased for league-leading Rossoneri coach Stefano Pioli - previously at Inter - and recognises there is work still to do for his own side.
"[Milan] are doing very well; I'm happy for Pioli," Conte said. "At a football level, we are trying to make a path that will lead to Inter at the top of the table.
"It is a path that has begun and is continuing, a path made of work, alongside a parallel corporate one, about which you would have to ask the club."