The partially convertible rupee was trading at 62.53/54 per dollar at 9:03 a.m., compared to its close of 62.23/24 on Friday.
Arvind Mayaram, economic affairs secretary at the finance ministry, also said that a fall in bulk diesel demand this fiscal year will save the government about $1 billion.
Diesel accounts for over 40 percent of fuel consumption in the world's fourth-biggest energy user, whose crude import bill was $144 billion last fiscal year.
Mayaram said he expected foreign direct investment flows of about $36 billion if current trends continues.
Net FDI in the first quarter of this fiscal year rose to $9 billion from $5 billion in the same period a year earlier, Mayaram said last week.