The astonishing situation for the small club from the Buenos Aires suburb of Victoria is due to the country's relegation averages introduced 29 years ago.
As it stands, victory for Tigre in their final match at home to Independiente and an Arsenal defeat by Belgrano would earn them the Clausura title with 38 points.
Of more pressing concern to Tigre, however, is their position in the relegation standings - a separate table decided on clubs' average points over three seasons.
Tigre coach Rodolfo Arruabarrena made it clear earlier in the week when he said he would "sign for survival over the championship" while striker Carlos Luna, the championship's top scorer with 11 goals, echoed that sentiment on Thursday.
"Our main objective was to get to this match with chances of staying in the first division," Luna told reporters.
"So we've got to think only about that, getting the three points against Independiente.
"It's true we set out [at the beginning] to win a lot of points to stay in the first division, but we didn't imagine we'd be top with possibilities of achieving the championship."
This task may have been made easier by the fact that All Boys have four players suspended after they were sent off in Sunday's 1-0 defeat at Argentinos Juniors and could also lose goalkeeper and captain Nicolas Cambiasso, brother of Inter Milan midfielder Esteban, to a ban after he allegedly insulted the referee after the match.
If Tigre do win the title but are relegated, while they will be first division champions playing in the Primera B Nacional, they will be denied entry to the Libertadores Cup, South America's equivalent of the European Champions League.
