Honours are even between the duo so far following Sunday’s goalless draw at Anfield, with both sides level on 20 points at the top of the Premier League.
Alisson, who arrived at Liverpool in the summer for a record £65million, was Brazil’s first-choice goalkeeper at the World Cup.
But Ederson, a Premier League title winner last season, is set to get the chance to stake his claim in their forthcoming friendlies against Saudi Arabia and Argentina.
“I expect to represent the Brazil national team against these two teams and I am looking forward to the two matches,” said Ederson.
“I think there is a lot of similarity between the two of us. Alisson is having a very positive season start at Liverpool.
“Here he is one step ahead of me, he played in a World Cup. That’s not why I’m going to work any less.
EDERSON:— Seleção Brasileira (@BrazilStat) October 9, 2018
"Alisson is a step ahead of me at the Seleção. The goalkeeper position is cruel because only one of us can play, but we are both living a good phase in England." pic.twitter.com/uGmVhndXl0
“Brazil is well served with goalkeepers. Those who come in will do a good job. Representing Brazil comes with great expectation, being able to play is even greater.
“I had the pleasure to meet Alisson when he arrived in England, we had lunch and he is a friend of mine.
“He has started this season really well, he is having opportunities with Liverpool so I expect him to have a great season – and I expect a great battle for the Premier League title.”
Brazil face Saudi Arabia in Riyadh on Friday but have been enjoying a stopover at Tottenham’s training ground in Enfield, north London.
Also in the squad are Premier League stars Fabinho, Fred, Roberto Firmino, Gabriel Jesus, Richarlison and Tottenham’s own Lucas Moura.
In Brazil’s two friendlies since losing to Belgium in the quarter-finals of the World Cup they have beaten the USA 2-0 and El Salvador 5-0.
Fabinho has insisted he is adapting well to English football, despite making only three appearances for Liverpool so far.
The Brazilian midfielder, a summer signing from Monaco, has started only one game – the Carabao Cup defeat by Chelsea – and made two brief Champions League appearances, as a substitute.
Fabinho has been an unused substitute in the last four Premier League games, with Georginio Wijnaldum, Jordan Henderson, Naby Keita and James Milner sharing the three midfield spots between them.
Milner’s hamstring injury could potentially open the door for Fabinho, and he told liverpoolfc.com: “My process to adapt to English football has been very good. Since pre-season I believe I have understood the way Jurgen Klopp plays and the way the team plays.
“My relationship with my team-mates has also been very good, like Roberto Firmino, who has been helping me, and also Alisson.
“I’m playing a little bit more and that’s important to me because it’s important to adapt on the pitch by playing matches. It’s a new experience for me because Klopp has a different style of work from the way I’m used to – but this is something I will learn.
“I have learned a few things from him but it is just the start. He is a coach who demands a lot from his players, not only in matches but also on a daily basis in training.”
Fabinho has opened up about life at Liverpool and playing under Jurgen Klopp.
The 24-year-old, who is currently on international duty with Brazil, signed for the Reds last summer after an impressive spell with Monaco, which succeeded a disappointing stint with Real Madrid.
And the 24-year-old has revealed he is still adapting to English football…