Chilton, contesting his rookie season in 2013, has been faced with an uncertain future in the sport since team-mate Jules Bianchi was confirmed as staying with the team next year.
Marussia's failure to confirm Chilton at the same time led to speculation about the 22-year-old's prospects, but he insists talks remain ongoing and are looking positive.
"I think my chances are looking good," Chilton said. "Nothing's set in stone yet. I'd love to stay with Marussia again because you always get more out of yourself when you know the team, it's a natural progression.
"We have been contacted by other teams but at the moment we know where we want to be and we're not far away from it now."
Chilton found his switch from GP2 to F1 hard at the start but feels he has improved as the year has gone on.
"I think it took me a little bit longer than I was expecting to get up to speed," he said.
"I think it's hard without the testing, but from the August break, when you have a bit of time to go through everything with the team, we had a really good sit down and picked on key areas where you can really enhance your performance. And since then, I think I've proved why I deserve to be here and I'm hoping to keep that on until the end of the year."
Chilton did his chances of being retained no harm at all with a stellar lap in qualifying last time out at Suzuka - regarded as one of F1's classic and most challenging circuits - that saw him qualify ahead of his team-mate and both Caterhams.
"Obviously, it was a bit of a standout performance because we managed to out-qualify both Caterhams and Jules, but I've had good laps in the year and I've been very happy with certain laps but in Japan we just managed to get things right," Chilton said.
"It was a bit of a manic last lap and I managed to just get enough space and just got the most out of the car and the car performed well."