With a superior goal difference on their rivals, victory against Kilmarnock this weekend will mean Richard Gough's side will all but secure their place in the division.
Along with The Arabs, The Lions have been a team which has been picking up results since the SPL split and the former Hearts goalkeeper is delighted his club has their destiny in their own hands with just two matches remaining.
He said: "If we win our next game we should be all right and that's all you can ask for.
"The manager came in and tried a few things which didn't work for him, but he has found a settled team now and what he is doing is working for him.
"We didn't play particularly well against Caley Thistle in this game, but the three points are vital. If you take the lead you tend to sit back and it can be dangerous. We gave up a lot of ground to Inverness and that is not a clever thing to do, especially away from home.
"Even when we were six points behind, we were confident we could pull ourselves out. Momentum is the key thing at this time of the season and the confidence is growing with every game.
"We can only win our own games and if we do that, we will be safe. If results go for you elsewhere it is a bonus. The aim all season, given what happened last year, was to make sure we stayed in the SPL. We are close to doing that now and we will be delighted if we achieve it."
Livingston manager Gough admitted his side did not play well but, with all three points going his club's way, he was not too worried.
Gough said: "Not many teams come here and win because Caley are a strong, physical side, so the players deserve a lot of credit.
"I always knew I had the ability to do this job, but it's not about me and I think the players deserve the credit. The guys I brought in have done a great job and the rest of the team have pitched in with a massive effort."