Is my Roamio going to be okay with CenturyLink and without Xfinity?

Hey, gang... I could use some advice and input. I'm pulling the plug on Xfinity internet and its bundled landline. I'm going with 40Mbps CenturyLink fiberoptic service. Is my TiVo Roamio going to receive the data it needs? Has it been making its own landline calls using my Xfinity landline overnight? Or is the internet data retrieved from CenturyLink going to keep my fabulous Roamio fully fed?

Is my Roamio going to be okay with CenturyLink and without Xfinity?