The 23-year-old suffered a broken nose during the 1-0 defeat to Newcastle United at White Hart Lane in the Premier League on Sunday.
The Romania captain will now miss both legs of the World Cup playoff, which national head coach Victor Piturca claims will be a huge blow to the team. "Chiriches is very important for us, not only because he's our captain. But as I said many times, no team is dependent on only one player," he said.
Sky Sports' report suggests that Piturca is expected to draft Dinamo Bucharest defender Dragos Grigore into his squad for the games against Greece on Friday and Tuesday.
Chiriches was hurt in a challenge with Newcastle forward Yoan Gouffran during the match on Sunday and needed treatment before being substituted at half-time.
The Romania international joined Spurs in the summer in an £8 million deal from Steaua Bucharest and has since become an influential player for Andre Villas-Boas' team after finally making his debut in the Capital One Cup win at Aston Villa on Sept. 24.
Chiriches has also been an integral part of the Romania team, which stands on the brink of World Cup qualification for the first time since 1998.
The White Hart Lane star, who has won 22 caps for his country, missed just one match in qualification, where Romania edged out Hungary and Turkey to finish second behind the runaway group winners from the Netherlands.
Romania will travel to Athens for the first leg of the playoff on Nov. 15 before the return match is played in Bucharest four days later.