The Franco-Swiss driver will join Haas next season and has already admitted that he is targeting a seat with Ferrari further down the line.
However, Grosjean is hoping to give his current employer a great end to a troubled 2015 campaign.
He told Formula Spy: "I'll be fighting all the way. There's no point holding back in the race or over the weekend.
"It's the last time the E23s will be used in race action so I'll be looking to give my car a good send-off.
"The engine will be turned up to eleven, I'll be racing my heart out and I know all the guys and girls at Enstone want to see a great end to the season."