Can I use a strange specialized killstreak weapon to fabricate a professional killstreak kit?

Basing this answer off of https://wiki.teamfortress.com/wiki/Killstreak_Kit_Fabricator as well as when I created my own specialized and professional kits.

Long story short, you need to have it in Unique quality, as no other quality will fit the criteria for the fabricator. The easiest way to obtain them would be to buy an already killstreak or already specialized killstreak unique quality weapon off of the steam community market, as this is generally cheaper than buying the killstreak / specialized killstreak kit of one and applying it to your own item, only to then use that weapon in the fabricator.