Alonso took a knock to his knee during Liverpool's 1-1 draw at Atletico Madrid in the Champions League on Wednesday, but is now expected to be ready to line up at Stamford Bridge, while skipper Steven Gerrard and striker Robbie Keane should also be fit to feature on Sunday.
Influential striker Fernando Torres is again set to miss out due to his hamstring problem, but Alonso is confident that Rafa Benitez's side can go to London and end Chelsea's 86-game unbeaten home league record which stretches back to February 2004, having already defeated Manchester United this term.
He told the Daily Post: "Beating United in our first big test of the season was very important for our confidence and this is another big test for us.
"We know Chelsea have a great record at home in the Premier League, they haven't been beaten for four seasons at home, and it is going to be really tough but we honestly feel we are ready to get a good result there.
"Hopefully we can be the team to end their unbeaten home record."
He added: "Being the first team to beat Chelsea at home in the league after all this time would put us in a great position and it would send out an important statement, but we have to beat them first before we can think about things like this.
"Winning at Stamford Bridge could spur us on for the rest of the season but even if we win it would still be too early in the season to say too much about winning the title. There is still a long way to go."