Amartey looks the likeliest fit to fill the hole left by N'Golo Kante.
Drinkwater said: "He's a good player. He has shown exactly what he's about. He makes it easy to play with him as the other lads do. It's quite an easy team to slot in to.
"Honestly the way he plays, he doesn't look 21. I wouldn't say it's more responsibility on me because he carries a lot of it himself. I do what I do and he do what he does.
"N'Golo is a big loss but he is gone. We're working for Leicester and we have to get on with it now."