The median in a Reuters poll on annual growth in the December quarter was 6.9 per cent, the best pace in 2017. Forecasts ranged from 6.4 per cent to 7.3 per cent.
The government will release GDP data on Wednesday around 5:30 pm.
If there was 6.9 per cent growth, that would top China's 6.8 per cent annual pace for October-December. The last time the economy had a faster growth rate was in the final three months of 2016.
The expected improvement on 6.3 per cent growth in July-September for the country comes as its manufacturing and services sector have been overcoming teething troubles rooted in the bumpy launch of a national sales tax also known as Goods and Services Tax or GST in July.
"After muted activity until September, signs of a pick-up in economic growth are starting to appear," said Aditi Nayar, principal economist at ICRA, the India arm of rating agency Moody's.
A strong gross domestic product reading could lift domestic shares, and boost the rupee, which has been Asia's second weakest currency this year, losing about 1.6 per cent against the dollar.
The GDP data could help Prime Minister Narendra Modi, who faces criticism over mounting bad loans of state banks and a $1.77 billion fraud at state lender Punjab National Bank, the biggest in the country's banking history.
Last week, PM Modi told industrialists that his government, which got a "twin balance sheet" problem resulting from bad debt in banks and many businesses, was determined to put the economy back on a higher growth trajectory.
PM Modi is trying to accelerate growth through higher state spending including Rs 2.1 lakh crore ($32.36 billion) for recapitalisation of state banks, beset with mounting bad loans of nearly $148 billion.
In November, Moody's raised the country's investment grade rating one notch, the rating agency's first upgrade in nearly 14 years.
India jumped 30 places to break into the top 100 for the first time in World Bank's Doing Business report 2018.
The International Monetary Fund forecasts the country's economic growth could reach 7.4 per cent in 2018 and 7.8 per cent in 2019, overtaking rates projected for China of 6.5 per cent and 6.4 per cent, respectively.
The world's seventh largest economy, which grew at more than 9 per cent a year from 2005 through 2008, is still far from firing on all cylinders. Domestic demand and private investment remain weak.
Urjit Patel, governor of the Reserve Bank of India (RBI), earlier this month said the economic recovery was at a nascent stage and called for a cautious approach. The central bank has kept its key rate unchanged since a 25 basis points cut in August.
India's investment rate fell close to 30 per cent of GDP in 2017 from a peak of 40 per cent in 2011.
The Centre is worried that higher global crude oil prices pose a major risk to its efforts to regain growth momentum as this could hit domestic investment and push up consumer price inflation.