there are a few words in polish with Turkic roots.
Actually, quite a few. And you are right to use the word Turkic, and not Turkish, as many of those words come from non-Turkish Turkic languages. Many of the Turkish Turkish words are in turn borrowed from Persian and Arabic.
We just had a question about the origin of the Polish name Tambur here. It turns out that the name is based on a root borrowed from some Balkan language, from Turkish, from Persian, from Akkadian, and ultimately from Sumerian. English gets tambourine from the same ultimate source, from French, from Italian, from Turkish and so on. That's quite a journey, across several totally different language families.