First cutdown is Tuesday by 4pm.
BTW, while this may not have an impact on the first cutdown, chances are Bradford and Johnson's injuries could possibly squeeze out a couple of spots from some players that play different positions at the bottom of the roster.
In other words, hw does the team not keep 3 QBs now (Hill, Davis, & a veteran pickup)?. And since Johnson isn't going to be out that long, they probably need to keep an extra CB on the roster while he is inactive the first few weeks.
This lower the chances of keeping 10 DLinemen or 5 RBs or maybe even 5 WRs.