India rested Bumrah for the fourth Test in Ranchi, where Rohit Sharma and his men grabbed an unassailable 3-1 lead in the five-match series.
Rahul remains sidelined since hurting himself in the opening test in Hyderabad and, according to media reports, was in London to consult a specialist.
"The BCCI medical team is closely monitoring him and coordinating with specialists in London for further management of his issue," Board of Control for Cricket in India secretary Jay Shah said in a statement.
Akash Deep impressed in his Test debut in Ranchi as India's second seamer alongside Mohammed Siraj, and could join Bumrah in India's pace attack for the final Test in Dharamsala from March 7th.
Frontline seamer Mohammed Shami missed the entire series with a heel injury and underwent surgery earlier this week.
"He is recovering well and will soon head to the National Cricket Academy (NCA) in Bengaluru to commence his rehabilitation process," Shah said of Shami.
