The 33-year-old suffered the injury while batting for Northern Superchargers in The Hundred on Sunday and was later seen on crutches.
Stokes will miss England's Test series against Sri Lanka, which begins on August 21.
A statement from the England and Wales Cricket Board said Stokes was "aiming to return for England's winter Test tour of Pakistan, scheduled to start in early October. The tour includes Test matches in Multan, Karachi, and Rawalpindi."
Vice-captain Ollie Pope is set to step up and lead the side for the three-Test series against Sri Lanka. Brendon McCullum's side then play the first Test against Pakistan on October 7.
Stokes has retired from white-ball cricket so would not have been in contention to play against Australia when Pat Cummins' team visit for three T20s and five ODIs in September.Â
Stokes had knee surgery last November and then ruled himself out of England's T20 World Cup title defence earlier this year to focus on being fit to fulfil his role as an all-rounder in the Test side.
He took five wickets in the 3-0 series victory over the West Indies this summer and appeared to be back to full fitness before suffering the hamstring tear against Manchester Originals at Old Trafford.
Meanwhile, Sri Lanka have appointed Ian Bell as their batting coach for their tour of England. Bell played 118 Tests for England, scoring 22 centuries.
"We appointed Ian to bring in a person with local knowledge to help the players with key insights on the conditions there. Ian has a lot of experience playing in England, and we believe his inputs will help our team in this crucial tour," said Sri Lanka Cricket chief executive Ashley De Silva.
15°C