Thistle dominated against Inverness on Boxing Day but missed a series of clear chances and found Caley Thistle goalkeeper Dean Brill on top form during a goalless encounter.
Lawless was one of the key culprits when he sent a free header wide from six yards but Kallum Higginbotham and Kris Doolan also missed the target from close range.
And Lawless is refusing to get downbeat after the draw against a side who have been in the top two for most of the season.
The Maryhill side have only scored three goals in eight home games in the league but they have another chance to secure their first Premiership win at Firhill when Motherwell visit on Sunday.
And Lawless is determined to remain positive rather than allow frustration to bite.
"Obviously that will creep in but we just need to keep working hard and doing the right thing," the 22-year-old said.
"I thought the goals were going to come against Inverness but we just need that wee break in front of goal and I'm sure the goals will come after that.
"It was a good point against a good team. They are a lot higher up the table than us. I think we put in a good performance. We should have really won but we will take a point and try to build on it on Sunday.
"We just need to keep working hard. As long as your work rate is up then you will get chances."
Lawless scored on his only start for Motherwell but was forced to leave to find first-team football, and he is relishing the game against his former team mainly because the game affords the Jags another chance to end their eight-game run without a win.
"Obviously I know a lot of the boys there so you want to perform well so that they see it," he said. "But it's just another game.
"Hopefully we can play well and get the three points because I don't think we are too far away from it."