The 30-year-old was hit on the glove during the second Test by Sri Lankan fast-bowling sensation Dushmantha Chameera, which resulted in a non-displaced fracture of the base of the fourth MCP bone.
Wahab was flown back to Pakistan as he required three weeks to recover, according to team physio Brad Robinson.
With Pakistan involved in a five-match ODI series against the Islanders — a series they lead 1-0 —Wahab is hoping that he is able to regain fitness and join the squad, with two T20s to follow.
“I want to join the team as soon as I can because Pakistan are in a difficult situation with the Champions Trophy qualification at stake,” Wahab told a local media outlet.
“It’s unfortunate that I’m out injured at such a crucial juncture but I’m keeping myself fit by training regularly. If the selectors and the medical panel give me clearance to play, I would like to join the team during the series.”