He added, "Fuller has an outside chance to play in their first playoff game and will likely be available if they win and advance."
Fuller went down in Saturday's 23-20 win over the Tampa Bay Buccaneers, and the 25-year-old has yet to play a full season since the Texans selected him 21st overall in the 2016 draft.
A hamstring injury forced him to miss Week 1 in 2018, and he landed on injured reserve after seven games with a torn ACL. Seven games into the 2019 campaign, another hamstring injury put him on the shelf.
Fuller has caught 49 passes for 670 yards and three touchdowns through 11 appearances so far.
Fuller's absence again opens the door for Kenny Stills to play a larger role in the passing game. The Texans paid a steep price for Stills and offensive lineman Laremy Tunsil (the main target), sending two first-round picks and a second-rounder to the Miami Dolphins.