Need Assistance With An Injury

I have a problem with an injury, and it's probably a simple fix, but since I can't find any guide to this game, I thought I would ask here. I have a full roster of 17. 5 players (including my two-ways) are at the d-league. That left me 12 to be active for games. A player got injured, and is out for 4 days. I'm guessing that the two-way players can't actually play between the d-league and the regular league, so the only way to call them up is to give them a contract, which means I have to cut somebody. Is that the option I'm stuck with? I will have to cut this player who is injured for 4 days to have 12 available players? Instead of sending 3 of my contract players to the d-league, should I only send one, and keep two of them available in case of other injuries? Thanks