Unlike Alonso, Gerrard has not enjoyed trophy success at international level during his 99 caps.
But that doesn't mean he won't be remembered as one of the all-time greats of world football, according to Alonso.
"He'll absolutely be remembered as one of the greats," the midfielder told liverpoolfc.com. "For me he is already one of the greats.
"His name and Liverpool's name will always be linked and he's a great representative of the club and the city.
"There are so many things. He is so inspirational. In the key moments he has that different thing, that spark that is difficult to define.
"He has achieved great things and in very important moments he has been the man for Liverpool. We had great European nights and he was the main man. For me he's a great player.
"Hopefully he will reach 700 games."