The Indian government is concerned that terrorists could use encrypted services to co-ordinate attacks.
But RIM reiterated last week there was no possibility of giving the authorities access, just ahead of a widely reported 31 January deadline.
RIM announced in January that it had given the Indian government access to basic BlackBerry Messenger (BBM) and BlackBerry Internet Service email.
But this week, India's home minister said authorities would insist RIM provides a similar solution for the enterprise service, according to the Financial Times.
The government has made it clear it is unhappy with the solutions offered by RIM and has not ruled out a ban, the paper said.
In August last year, the Indian government threatened to ban BlackBerry services if it failed to provide the government full access to its services.
The threat was revoked after RIM agreed to address the government's security concerns by 31 January.
This story was first published by Computer Weekly