The Frenchman finished a lowly 15th at the Italian Grand Prix, on a track that he described as being "like a penalty" for Lotus given their car's characteristics.
However, Grosjean is hopeful of a better result on the Marina Bay circuit.
He told reporters: "Compared to Monza, the answer is definitely 'yes'. Last weekend was a difficult one for us because the nature of the Monza track was like a penalty.
"It was another difficult race after a bad start and then a few incidents. All in all, it was important for the team to get two cars to the end, but we will be hoping for much better at Singapore and I think we can head in to it with some renewed confidence.
"Singapore offers less in terms of compromising the downforce for straight-line speed, so we should be able to fight higher up the grid. We managed to get some points at Monaco, so I am hoping we can achieve something similar on this street circuit too."
Grosjean has scored just eight points in the 2014 championship so far.