naz Partey should be back in a few weeks. Rice should be fine to play all the PL + CL games while he is out. Last two seasons he has played 50 games per season for West Ham and when you factor in International probably closer to 60 games per season so he's built for this, unlike Partey!
Also we can see with every game Rice is improving, I think he needs as many minutes as possible to strengthen his connection with the team. You could see against Everton his passing is getting a lot more crisp and better as well.