The former Reds star believes the current team is progressing well despite a difficult first season, and hopes to see it back in the Champions League before long
Rodgers' men played exhilarating football at times but struggled for consistency, eventually finishing seventh in the Premier League, 28 points behind champions Manchester United.
But Alonso remains adamant his old club is on an upward curve, and is looking forward to seeing them back in the Champions League in the near future.
"Well I think, especially at the end of the season, we could see the fruits of his work," he told estoesanfield.com. "When Brendan arrived we knew it was a project for a few years, and step by step he started the season trying to establish his methods.
"Maybe he found it a bit harder than he expected, but at the end of the season with the new signings the team played quite well.
"So we trust that in the next years, the team will come together, become more competitive and reach the Champions League. That is where we want to see it."
Alonso also revealed he remains as fond of the Liverpool fans as they are of him, and admitted he still savors the memory of the club's miraculous Champions League final comeback in 2005.
"Well, it is the same affection I have for them," he added. "I enjoyed five wonderful years, we had great nights and great games.
"We achieved a Champions League, and I think that will remain in the history forever, so I was a little part of the history."