The law ministry has to clear the decision.
Last month, most members of a panel of MPs on defence had said the CBI must challenge in the Supreme Court the Delhi High Court's 2005 order cancelling the arms case.
The case is a "clear example of systemic failure and reflection of criminality", members of the panel said, and urged the CBI to seek permission from the government to reopen the case by filing a plea in Supreme Court.
The CBI has indicated that it can support a petition pending in the Supreme Court, which challenges the decision to cancel the case.
CBI Director Alok Verma was asked why the investigating agency did not go to the Supreme Court earlier. The MPs were reportedly told that the CBI's request for a go-ahead was denied by the Congress-led UPA, which was in power.
The panel of six MPs is examining what it says is the "oldest" report pending before it - an auditor's report on the 1986 Bofors howitzer gun deal.
The Bofors case devastated the Congress government of Rajiv Gandhi in the 1980s and ruined the party's prospects of returning to power for years.
The scandal swirled around allegations that Swedish defence manufacturer Bofors paid huge kickbacks to Rajiv Gandhi and others for the sale of its artillery gun to India. The allegations first emerged on Swedish Radio on April 16, 1987.
The High Court said there was no evidence that Rajiv Gandhi had accepted bribes. Rajiv Gandhi - Congress president Sonia Gandhi's husband and Rahul Gandhi's father - was assassinated in 1991.