Tite’s side continue their World Cup qualifying campaign in Lima in the early hours of Wednesday morning, with Coutinho in particular primed for a key role.
But Liverpool are pulling out all the stops to ensure they are given the best chance of featuring, according to the Mail.
Flying direct from Peru to Liverpool would typically take 15 hours, meaning Coutinho and Firmino would likely arrive on Merseyside on Wednesday evening.
Whether they take part in training on Thursday remains to be seen, but precedent suggests they will in some form.
Brazil’s final outing of the season’s first international break, for example, came at a similar time on September 7, kicking off at 1.45am, with Liverpool’s home clash with Leicester City coming on September 10.
Coutinho, who was the sole Reds representative in Tite’s squad that time around, was involved in the matchday squad, but was restricted to a substitute appearance in the second half.
Both the No. 10 and Firmino were provided more time to recover following the next break, flying back on October 12 with Liverpool’s clash with Manchester United coming on October 17.
Klopp named both in his starting lineup against the Red Devils, but this likely came due to the length of their recovery time.
Firmino has been playing a more reduced role under Tite so far, with the 55-year-old preferring Gabriel Jesus as his No. 9, flanked by Coutinho and Neymar, so the former Hoffenheim forward has more chance of a starting role against the Saints.
Encouragingly, however, both Coutinho and Firmino will be given every chance of making the squad at St. Mary’s, with their importance to Klopp’s Liverpool vast.