Ninth-placed Arrows are knocking on the door of the top eight after Lerato Lamola's late goal sealed a 1-0 win over title-chasing Cape Town City on Saturday.
Abafana Bes'thende are level on points with eighth-placed Bloemfontein Celtic and five points behind seventh-placed Kaizer Chiefs with five league matches remaining.
But Komphela, who has also led the team to the Nedbank Cup semifinals, is aware that they are also just seven points above the relegation places.
He was asked what would make him happy at the end of the season.
"It must not be about Steve, coaches come and go. We just need to look at the ambitions and objections of the club, what would make the team happy? We can then talk, I really don't want to personalise success," Komphela said.
"I also don't think we are safe as yet, with five games remaining anything can happen. Mathematically everyone can still survive, we need to just keep on fighting until we get assurance."
Komphela started two young players – Sanele Mathenjwa and Sibusiso Sibeko – ahead of his deadly attack of Knox Motizwa and Lamola, who came off the bench to win the game.
"Knox and Lamola's quality is clear but we need to applaud Sibeko and Mathenjwa for their work without mentioning others," he added.
"I believe as a coach you must not be a game-changer, be a life-changer. Make a point that you put a mark on the kid, contribute in changing lives through football and when you see Sibeko and Mathenjwa play then you know not only they are happy, even their families and community sees hope in them."
Arrows will next host AmaZulu on Sunday in a tough eThekwini derby, which will put not only three points but also local bragging rights at stake.
