"Kris is not fit at the moment but I'm going to give him a chance to get fit and then have a look at the situation then," said Saunders.
"Kristian is certainly the type of player we need. He is aggressive but he can play football as well."
O'Leary has come to the Racecourse after being released by Swansea City.
The Port Talbot product has also had spells on loan to Cheltenham Town and Leyton Orient.
"He is big, 6ft 2in. He can play centre back, can play in midfield anywhere. He has played a lot of games in the championship. He has been at Swansea 15 years."
Lawrence is back at the Racecourse where he was captain under former manager Darren Ferguson.
"Dennis is coming in training. He isn't doing anything at the minute. He is a good character to have around the place. We don't know if that is going to go anywhere. We'll see what happens."
Saunders confirmed that he will be looking to bring players in during the close season with the emphasis on goal scorers.
"I haven't got enough players who can get goals," he confirmed.
"So I have to look at that and address it. I think we need three or four players. I will be looking at that in the summer.
Should Wrexham sign Kristian O'Leary and Dennis Lawrence?
"We will be looking for some strong-minded men who can get on the end of things and score the goals. The chances we have been creating are unbelievable.
"I have got to get a few players who can get goals out of nothing.
"Defensively we can get better but I will take the goals against next year.
"This club has had a disaster and I'm trying to get them out of it."
Source: BBC Sport
Source: BBC Sport