The duo both competed in the first heat on Thursday, with an automatic place in Sunday's final up for grabs for those who finished in the top four.
However, they both missed out, with Jones finishing in fifth position and Fuller ending in 10th, meaning that they will have to settle for places in the semi-finals to try to reach the final once more.
Jones's ranking score of 74.25 was just 4.75 off of a top-four place, with a slip on her second attempt hindering her chances of progress.
Fuller ended with an overall score of 44.50 and will need to improve if she is to qualify for the final.
Switzerland's Isabel Derungs finished in first position after scoring 87.50 on her second run.