The Formula One Group have agreed a deal with French television channel TF1 to show four full races exclusively free-to-air, with the rest of the 2018 season continuing as highlights.
The Indian Grand Prix went off the calendar after three editions from 2011, largely due to the serious financial problems faced by promoter Jaypee Group and the red tape around the event.
Speaking at the event, he said: "We haven't concluded a deal yet, but we're having positive discussions and it is certainly our goal to try and reach a deal that works for both of us".
Singapore will host a grand prix until at least 2021 after signing a new contract with Formula 1.
It will be extremely tough for India to find a way back on the ever-crowded F1 calendar with more countries showing interest in hosting the high-profile race.
Grant Elliott finds Pakistan safe for global cricket
The incident had taken place in Lahore in March 2009, wounding six players and killing two civilians and six Pakistani policemen. More than the series triumph, they would be delighted to host global games after the infamous terror attacks of 2009.
Singapore has considerable appeal as a popular tourist destination, with about "40 to 50 percent of visitors (to the race) from overseas", said Lionel Yeo, the chief executive of Singapore's tourism board. "We're all looking forward to working together with all the teams and manufacturers to make our sport more exciting and spectacular for the fans all over the world".
Ferrari's Sebastian Vettel arrives for practice at the Marina Bay Street Circuit in Singapore this week.
Carey called the race "most thrilling" as debuted in 2008, Singapore GP is the first ever night Grand Prix and one of the most attractive races.
From next year, Singapore will be the sole stop that Formula One makes in Southeast Asia, as next month's Malaysian Grand Prix is to be the last.