The NFLPA's salary cap report has the Kansas City Chiefs with nearly $9 million in salary cap space. The exact cap space for the Chiefs according to the NFLPA's report is $8,793,884, which is a good amount to have heading into the season.
The Chiefs cap space situation will be affected the most come roster cut down time. The Chiefs will be making some salary cap decisions on their veterans. The question is whether you can replace the veteran's production with someone cheaper. Meanwhile, other teams will be making their own cap decisions which could result in a productive player hitting the open market. The Chiefs would need cap space available if that happened which they do.
I don't see any other major free agent signings for the Chiefs. In fact, Andy Reid indicated recently no more big name signings are coming. I'm talking about you, Evan Mathis, who is supposedly looking for somewhere around $5.5 million. It does not appear the Chiefs are pursuing him.
The Chiefs like to head into the season with this much salary cap space. Who knows what comes up during the season? And if the Chiefs don't use it this year, they can simply roll it over next year. So it will be used at some point.