Marvelous Nakamba, Sambi Lokonga, Elijah Adebayo, Sambi Lokonga, Chiedozie Ogbene, Mads Andersen, Jacob Brown, Amari'i Bell, Gabe Osho and Dan Potts are all injured.
However, Luton are still within touching distance of escaping from the bottom three after beating Bournemouth at the weekend.
Speaking after the game, Morris said: I'll be honest, it's been a tricky one for me whether I've wanted to talk about it or not, but it's getting to the ridiculous point now where we've got so many injuries.
It's hard not to speak about it at this point, but at the end of the day we've got enough lads to put a good starting XI together and the pressure is on us to stay on it and keep doing it every week now.
I believe it (staying up) would be one of the stories of the season for sure. It's been against us, it has. It's pointless shying away from it now or to stop talking about it, because it has been against us with the amount of injuries we've had. But we're capable of doing it, we're not going to give up, we've got character."