Defeat against the World Cup semi-finalists and a Scotland victory against Canada would see Ireland slip to ninth in the IRB World Rankings, a fall that would have drastic implications for the pool stages of the 2011 World Cup.
The top eight teams will be seeded one to four and five to eight, meaning sides ranked ninth and above will face two of the world's top-eight sides in the group of stages of the tournament in New Zealand in three years time.
The news that Quinlan faces disciplinary action, together with injury concerns, has persuaded Declan Kidney to delay his Ireland team announcement until Thursday.
Lions lock Paul O'Connell and hooker Rory Best are both suffering from dead legs and are unsure of their fitness for the clash with the Pumas.
All Blacks prop Tony Woodcock has also been cited for striking during his side's 22-3 win over the Irish. Both players' cases will be heard this week but no specific date or venue has been set.