But despite past successes Anscombe is desperate for complacency not to creep into his troops' game.
Scarlets didn't have the best preparation for the play-offs, having lost their final league game 41-17 to Treviso last time out.
However, Anscombe claims they are still a dangerous force and urged his players to be on top of their game.
"(Scarlets) have worked hard all year and they've earned the right to be in the semi-final," Anscombe told the Irish Independent.
"Past performances and games against them count for nothing. It will be down to whichever team takes their chances and goes about their work in the right way.
"Certainly there has been a good attitude in training this week. You can feel the buzz and the positive attitude. The players are excited and that's what you want.
"It's not about changing anything; it's about keeping our focus and emptying the tank. If we do that, we have a good chance of making the final."
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