His withdrawal comes a day before the selectors sit down to choose the Test team for the four-match series starting June 2.
''It is difficult to say right now as to how long it will take for me to come back to international cricket. It is up to the doctors who are treating me,'' Tendulkar told reporters here.
''I am going to London next to meet my doctor for further treatment and I have told the board that I won't be able to go to West Indies,'' he added.
Sachin also backed out of the scheduled fitness test today and said his arm was still weak -- a month after it was operated in London by Dr Andrew Wallace.
''Andrew Leipus has been with me all the time and all my sessions were monitored. There is weakness in my arm. I am not still ready to compete at the international level,'' the master blaster said.
Meanwhile, opener Wasim Jaffer has been cleared by former physio Andrew Leipus and Dr Anant Joshi, BCCI Secretary Niranjan Shah said.
Earlier, Sachin, who did not go for the one-day leg of the tour, underwent several practice sessions on Mumbai Cricket Association (MCA) grounds as well as MRF Cricket Academy, Chennai.