The Winnipeg skip and her teammates — third Kaitlyn Lawes, second Jill Officer, lead Dawn McEwen and alternate Jennifer Clark-Rouire — fell to 7-2, a game back of the 8-1 Swiss squad skipped by Alina Paetz.
China, Russia and Scotland are next with matching 6-3 records.
Earlier in the day, Jones had taken sole possession of first place with a 9-3 win over Norway's Kristin Skaslien while Switzerland was idle in the morning draw. The Swiss then defeated Norway to move into a tie with Canada heading into their evening matchup.
Jones needed to score a pair in the final end to force an extra, but could only manage a single after a measurement determined a Swiss stone was in second shot position.
The Canadians complete their round-robin schedule on Thursday with games against Germany's Daniela Driendl (4-5) and Japan's Ayumi Ogasawara (5-4). A win in either would guarantee Canada a playoff berth.
Swiss teams have won two of the past three women's world championships, with Mirjam Ott winning in Lethbridge, Alta., in 2012 and Binia Feltscher taking last year's tournament at Saint John, N.B.
"We know they're a great team," said Jones. "They're high on the Order of Merit and obviously they're playing well."