"We want him to come back and retire as a Texan," Texans owner Bob McNair said, according to the Houston Chronicle.
McNair added that Johnson could have his No. 80 retired, while being honored at NRG Stadium.
"We'd certainly consider that," McNair told the Houston Chronicle. "We're going to have a Hall of Fame for them and recognition in the stadium for them, but we have to decide if we want to retire jerseys."
Johnson, 34, was drafted No. 3 overall in the 2003 NFL Draft.
The seven-time Pro Bowler and two-time first-team All-Pro had 1,012 receptions for 13,597 yards and 64 touchdowns in 12 seasons for the Texans. He had 41 receptions for 503 yards and four touchdowns last season for the Colts.
Johnson had signed a three-year, $21 million deal last March with the Colts. The deal included $10 million guaranteed.