The Chiefs have two fifth round picks, S Kendrick Lewis and OLB Cameron Sheffield, signed, sealed and delivered. On Thursday the Chiefs also announced the signing of TE Tony Moeaki.
The next one could be coming quickly.
Bob Gretz of BobGretz.com reports the Chiefs are "on the brink" of signing third round pick Jon Asamoah. Reading the tea leaves, Asamoah makes the most sense as the next signing because the players before and after him have signed deals (via Mac's Football Blog):
67. Tampa Bay Buccaneers - Myron Lewis, S, Vanderbilt - Signed (4-years, $2.72M; $930,100 signing bonus)
68. Kansas City Chiefs - Jon Asamoah, G, Illinois
69. Oakland Raiders - Jared Veldheer, OT, Hillsdale - Signed (4-years, $2.685M; $895,000 signing bonus)
Assuming his deal is slotted and the Chiefs operate in the same fashion they have with their other signed picks, Asamoah can expect a four-year deal in the neighborhood of $2.7 million and $913,000 or so in a guaranteed roster bonus in lieu of a signing bonus.