The big defender damaged ligaments in both his knee and ankle in the challenge that led to Arsenal's controversial winner from the penalty spot in the derby just over a fortnight ago.
He revealed: "Things are improving but it's quite a slow process.
"Ligaments tend to take time to heal and that's what I've done, strained the medial in my knee and the lateral ligament in my ankle. The knee feels quite good but my ankle is still quite sore.
"So I'm doubtful for the Liverpool game. I tried to do some running today (Monday) but it's still sore.
"That game will probably come too soon for me but I'll try to get fit for the last game of the season.
"I'd like to play against Leicester, get another game in before the end of the season and go out with a win."
Deano admitted he was relieved there was no more serious damage.
"You know when something quite serious and I was pleased there was no permanent damage," he added.
"I feared the worst for the first few days because it was really sore. I'm relieved it's nothing too serious."
Dean Richards says he's determined to return before the end of the season - but admits his chances of featuring against Liverpool on Saturday are very slim.