Liverpool manager Jurgen Klopp says that his transfer plans rely hugely on his side achieving a top-four finish this season.
A failure to gather as many points as Arsenal on Sunday, when the Reds host relegated Middlesbrough, would see them drop out of the top four and fall at the final hurdle.
Liverpool have only been in the Champions League once in the last six seasons, and they failed to make it out of the group stage.
"It's in our own hands and it would be a good achievement", Wijnaldum told The Liverpool Echo.
"I think we can all agree that if we could have played our first 12 or 13 for the whole season, and we are only six, seven, eight points away from the very interesting region of the table, then it's not unlikely that it could have worked", Klopp said in April, per The Guardian.
Man City and Arsenal are the other clubs vying with Klopp's side for a spot in the Champions League, with one of them set to miss out.
Firmino was left on Merseyside for last weekend's trip to West Ham, with Daniel Sturridge taking his place and scoring the opener in a 4-0 victory.
He confirmed it is "a bigger chance than for this game today", and with a week between games the German has not ruled out Firmino's participation.
"If Champions League is the only reason for a player to come it makes no sense".
"It was wonderful for so many of our members to get the chance to interact with a real legend of the game". Their results in the first half of the season showed that having a good attack can render the occasional slip at the back fairly meaningless, and don't forget that Liverpool went within a whisker of winning the title in 2014 despite conceding 50 goals.
"He gave the club a lot and now we can give him the best education in this specific part he wants to work in, hopefully for the rest of his life". It's down to us.
"Before the last game, we had 70 and I said to the boys, "Really, I am already fine" because we did this and that, not everything perfectly, but it's not about looking back at where we lost points and where we did this and so on".