The Uruguay star became the first Reds player to score back-to-back league hat-tricks on the same away ground in Saturday's 5-2 win at Norwich City.
Despite the 25-year-old being criticised for not scoring more goals, he has just one fewer in his first 50 league matches than the club's record scorer Ian Rush managed.
"It's a privilege to be able to play alongside Luis," Allen said. "I'm just grateful he's on my team. When you're out there playing alongside him you just have to be in awe of a performance like that.
"The goals, some of the things he did, not many people in world football can do. He's got everything you need to be a top-class striker and I'm excited about the season he's going to have for this team.
"We mentioned before the game about the fact he got a hat-trick against them last season and the fans at Carrow Road must be happy to see the back of him."
Having recorded their first league win of the season, Allen believes the Reds can now move forward quicker. "This is where our seasons starts really. We have to kick on from here," the Wales international said.
"If we keep performing like that then it will be the first win of many. With the talent we've got in the team we know that if we give it everything then there's not many teams who can stop us."