Manchester United are hoping to sign the Argentinian forward from West Ham, but the Hammers are refusing to sanction the move amid complications over his registration.
And the world football's governing body believe their decision is in the best interests of all parties.
West Ham were eager for FIFA to get involved in what has become a stalemate in recent weeks, with the London club refusing to sanction the Argentina striker's proposed move to Manchester United.
Tevez is registered as their player, but businessman Kia Joorabchian claims he owns the 23-year-old's economic rights and is therefore entitled to his transfer fee.
The Premier League, however, say the Hammers own the player and therefore must receive any such fee.
FIFA came to their decision following a high level meeting with FA and Premier League officials in Zurich on Monday.
Their legal team considered the case overnight before recommending the Court of Arbitration for Sport rule on the matter.
Herren said: "Under the circumstances it was felt it would be in the best interest of all parties to take this course.
"It looks like being the fastest way of resolving this matter.
"It is not a refusal by FIFA to get involved, quite the contrary. It is a recommendation by FIFA to opt for this way."
The recommendation to go to the Court of Arbitration for Sport applies to West Ham and Tevez but not Manchester United, who are not regarded as directly involved in the dispute.