Dybala broke down in tears as he was forced off against Cagliari on Saturday with a thigh injury, being embraced by head coach Massimiliano Allegri has he head down the tunnel.
A scan on Dybala's thigh revealed a "mild to medium strain to his right thigh", according to a statement from the club, with is expected to rule the Argentine out for around five weeks.
"Paulo Dybala underwent an MRI this morning which showed a mild to medium strain to his right thigh flexor," the Serie A champions said.
"He will immediately start rehabilitation with the prognosis for return better evaluated in the coming days."
Tottenham travel to Turin on February 13, meaning Dybala will be in a race to be match fit for the Champions League last-16 first-leg clash.
The return leg is at Wembley on March 7.