The 31-year-old was the team's leading wideout in 2012, recording 1,598 receiving yards and four touchdowns.
Johnson told the Houston Chronicle: "I'd like to have another [receiver]. I'm all for it. I've asked for it for awhile. The more weapons we have, the better it'll be for the team.
"If we're able to add another guy, it would probably be the best group of receivers we've had since I've been here.
"Adding another guy [to go with DeVier] Posey, Lestar [Jean] and Keshawn [Martin], that's a lot of talent. Not only would it be good for now, but it would be good for our future."
The Texans have the 27th pick in the first round of this year's draft that takes place on Thursday.