Once you're on the team, you are mostly practicing plays, doing clinics, and simulating competition, but to get on the team in the first place you have to prove your general fitness by running, say, a 6 minute mile.
You may not be able to do that again easily right away once you've been on the team for a while because you don't practice running for pure time at that distance, but it's a level of fitness you should be easily able to obtain again if you had to, and it's a very useful benchmark to a scout.
When you're laid off, it's time to start doing that "roadwork" again. It will be a bit hard at first in practice, but if you've been a solid contributor, you should be able to get fit enough again to prove that.