The players are due to be tested again on Monday before a decision was made about their availability for the match.
In the other game in the Chengdu division, Taizhou Yuanda beat Beijing BSU 2-0, and Inner Mongolia Zhongyou defeated Beijing Renhe 2-1.
After Tianjin led 2-1 from the third set, both sides fought to tie at 26-26 which Jiangsu saved one match point to level at 2-2, before taking the decisive fifth set.
The fact that the Royal Blues have worn out nine managers in 11 years, at least to some extent, explains David Wagner's hopeless situation. The 48-year-old former Huddersfield manager is the club's 10th incumbent.
Ireland's Sam Bennett won the last stage after the eight-lap dash around the iconic Champs-Elysees to take the green sprinter's jersey.
The 16-team CSL was split into two groups, with each group of eight teams based respectively in Dalian and Suzhou. Both groups will play 14 rounds in the first phase, which is to end next Monday.
Leo Messi will also be in the spotlight after a summer in which he asked to leave the Camp Nou, while the pressure will also be ramped up on Antoine Griezmann and Philippe Coutinho, who has returned following his loan to Bayern Munich.
America de Cali forward Aldair Rodriguez, Deportivo Municipal midfielder David Dioses and Cesar Vallejo midfielder Raziel Garcia were named on a 30-man list that is expected to be pruned in the coming days.
With one round left, Chongqing has booked a berth in the next stage.
The 38-year-old broke the deadlock in the 34th minute as Theo Hernandez whipped in a cross from the left and the Swede out-jumped two defenders to steer his powering header into the net.
After that, control of the game was taken by the Austrians, and in the 16th minute Maccabi's defender Eitan Tibi saved a sure goal from the line, after a shot by Hungarian midfielder Dominik Szoboszlai.