Adrian Sutil was let go by Force India after the 2011 season. (Photo: LAT Photographic)
Adrian Sutil, the former team driver, who sat out 2012 in the wake of his assault conviction, told German television Sat 1: "I certainly hope so.
"It's not yet certain, but I have a good chance.
"I know this business very well, and so you can only be certain when you have something signed.
"I still have to be patient, but I certainly hope that it turns out in my favor.
"It would be nice because I know the team well."
Sutil, now 29, made his debut for the Silverstone based team in 2007, when it was known as Spyker. He stayed through the transition to Midland and finally Force India.
The German admitted he is pinning his 2013 hopes on Force India, who have a vacancy alongside Paul di Resta after Nico Hulkenberg's move to Sauber.
"If it doesn't happen, I will have to think about something else, but I haven't really started that process yet," said Sutil.
Sutil insists a criminal conviction for assault last year will not affect his return to Formula One.
Reportedly close to signing a deal to return to F1 with his old team Force India, it has been rumored the 29-year-old German's conviction might cause him trouble entering some of the countries on the 2013 calendar.
But Sutil told BBC radio: "We checked all the countries and there is no problem for me to travel. All my problems last winter are solved."
In January, a German court gave Sutil an 18-month suspended jail sentence and EUR 200,000 fine for attacking Lotus team executive Eric Lux in a Shanghai nightclub last May.