France needed a win in Glasgow to take the title race to a final round but they saw a ten-point lead reeled in after wing Rachel Shankland crossed in the 73rd minute.
Helen Nelson's conversion meant the match finished in a stalemate as Scotland avoided defeat for the first time in three rounds of a competition interrupted by the coronavirus pandemic.
England are now six points clear at the summit of the table and cannot be caught with their final match against Italy to come on 1 November.
France's draw puts them level on points with Ireland, who beat Italy on Saturday to claim their third win of the tournament.
Victory for Adam Griggs’ side over France at Energia Park next Sunday will secure a second-place finish.