Lotus are expected to announce in the near future their retention of Grosjean and team-mate Kimi Raikkonen for next season.
Grosjean can perhaps count himself fortunate because although he has proven he has considerable talent at times, he has also been involved in several early accidents, notably in the Belgian Grand Prix.
Grosjean overstepped the bounds when he caused a pile-up at the La Source hairpin, forcing himself and three other cars into retirement, resulting in a severe sanction of a one-race ban.
In Japan three weeks ago Grosjean was again at fault when he punted Red Bull's Mark Webber off at the first corner, incurring a stop-go penalty.
Many teams might have considered ridding themselves of such a trouble-maker, however, it is certain Grosjean will stay for a second season with the Enstone-based marque, and for that he is very grateful.
"We have been analysing everything together," said Grosjean, ahead of this weekend's Indian Grand Prix at the Buddh International Circuit.
"They have been supporting me, so I'm very glad and very happy to be here. I think we want to go a long time together - that's the idea.
"I feel very good here, I'm very happy, and the car especially is good as well, which helps.
"But the faith and support the team have shown me has been very important at a difficult time.
"If I can move on from the situation I've been through then things look very good for the future."
Grosjean's immediate concern is to remain trouble-free for the final four races, a plan he put into action in Korea a fortnight ago.
At the start of that race Grosjean adopted a safety-first approach, running wide at turn one to avoid any possibility of a crash.
Appreciating other drivers will take advantage is not a concern as he said: "It's the first step of a new foundation, and I will keep the same approach this weekend.
"It was quite important for me, for the team, for everybody, to score points and get to the end of the race and have a strong race.
"There are still things we need to work on, to analyse, to find the right point to make it work, but we had a good baseline out there.
"I know other drivers are already taking advantage. They know I am under pressure and they will try to go for it, which is normal.
"But as I say, never mind that. If they overtake on the first lap I can get back the position later on."
Asked as to how long he would adopt such an approach, Grosjean said: "Until the end of the season, this is the idea.
"I've been on a cycle. It was one incident, then a few - and I was not responsible for all of them - and then it got worse and worse.
"So you ask yourself questions, you lose self confidence and everything gets harder, which is why I want to take a different, safer approach during the last few races of the season.
"I'm trying to build things back up so next year I have normal starts. Everything will be back to normal I'm sure."