Smith caught his lone target for two yards in Saturday's 23-14 divisional-round playoff loss to the Chiefs.
Smith went untargeted in lasts Saturday's 32-12 win over the Chargers in the wild-card round.
The Texans signed Smith to their active roster Friday.
Smith was not targeted over 17 snaps in Sunday's 23-20 win over Jacksonville in Week 13.
Smith was elevated from the Texans' practice squad Saturday ahead of Sunday's matchup versus Jacksonville, Aaron Wilson of KPRC 2 Houston reports.
Houston signed Smith to its practice squad Tuesday, Aaron Wilson of KPRC 2 Houston reports.
The Chiefs released Smith on Tuesday, Adam Schefter of ESPN reports.
Smith has worked with Kansas City's first-team offense during camp and has been a pleasant surprise, Pete Sweeney of ArrowheadPride.com reports.
Smith is in line to sign a one-year deal with Kansas City, Adam Schefter of ESPN reports.
Smith (coach's decision) is inactive for Sunday's game against the Browns.