The Sussex and England pace bowler underwent successful surgery to his right hand on Monday. A fragment of glass was removed during the operation to his middle finger on his right hand.
The ECB said: "He will now commence two weeks of rehabilitation. The consultant will review him before returning to training. Further updates on his elbow injury will be provided once he has returned to bowling to assess the effectiveness of his recent injection."
Archer suffered a cut to his hand while cleaning a fish tank at his home in January shortly before flying to India to prepare for the Test series. The ECB’s medical team managed the injury throughout the tour, and it did not impact on his availability.