The 26-year-old, who made 10 starts for the struggling Hispania F1 team this year, said he was optimistic of securing a place without mentioning any interested parties.
"My goal for next year as I've said before is still firmly to be in Formula One and negotiations for a drive in the 2011 F1 World Championship are progressing in the right way," he said.
"So hopefully we'll have a final programme in place before the F1 world shuts for Christmas."
Chandhok tested a GP2 car in France last week but said the Abu Dhabi outing was a good chance to learn a new circuit and be race-ready for 2011.
Force India and Lotus, yet to confirm their line-ups, could be targets but competition for places is intense with teams increasingly looking for drivers to bring sponsorship.
Austrian Christian Klien, who also raced for HRT this year and is looking for a seat, suggested the sport's increasing embrace of the emerging economies was being reflected in the driver market.
"Some time ago your best chance to get a drive in Formula One was when you were British, French or Italian," he said on his website.
"Nowadays the number of cockpits has hardly increased compared to 10 or 20 years ago but drivers are coming in from all areas of the world: Russia, India, South East Asia, soon probably Korea and China.
"Whoever has a government, an oil company or a mobile phone group from a rising country behind him has the best chance to be on the grid in 2011," added Klien.
Venezuelan Pastor Maldonado, this year's GP2 champion who tested for Williams and HRT last week, is backed by his country's state oil company PDVSA and is expected to join Williams as replacement for highly-rated German Nico Hulkenberg.
Everything is likely to slot into place once Renault announce whether he is staying or leaving, although there are clear signs that Russia's first F1 driver will be retained.
Russia is building up to a grand prix in Sochi in 2014 and Petrov has already attracted several national sponsors, while fledgling Russian sportscar maker Marussia have taken over as Virgin Racing's title backers.
"It is more positive for Vitaly than negative, so there is less chance for them (other drivers)," Renault team boss Eric Boullier said after this month's Abu Dhabi season-ender.
Those still searching for a home include Vettel's fellow-Germans Nick Heidfeld and Hulkenberg, released by Williams despite taking their first pole position for five years in Brazil this month.
Virgin have yet to announce their drivers.