Chelsea have struggled to put up a good defence of their Premier League title this term and are in danger of missing out on Champions League football next season with four games left in the league campaign.
Cahill is expected to be England's most-capped outfield player in Russian Federation, but the centre-back is not guaranteed a starting role due to finding himself in and out of the Blues team this season.
But Blues boss Conte believes Cahill deserves the chance to re-establish himself.
Conte is widely expected to leave the club at the end of the season, despite having an extra year remaining on his contract at the club.
"We are talking about an important player for Chelsea".
Luiz held a big birthday bash in London earlier this week to celebrate turning 31, which was attended by several of the Chelsea players. Having started regularly when available for the Three Lions' qualifying matches, after the turn of the year Cahill was deselected by national team manager Gareth Southgate for friendlies with Netherlands and Italy.
"It wasn't simple replacing John Terry because we are talking about a great leader", Conte said, "It's something you have in your blood".
"In this moment he's deserving to play", he told reporters ahead of Saturday's trip to Swansea City. Now I think it's right to give an opportunity to Gary to play more.
"I realise the manager has decisions to make".