Oklahoma State cornerback Justin Gilbert, considered by pundits to be one of the top picks in the upcoming league draft, is visiting the New Orleans Saints, he announced on Twitter on Monday night.

Oklahoma State cornerback Justin Gilbert (4) intercepts a pass intended for Stanford tight end Coby Fleener (82) during the first half of the Fiesta Bowl NCAA college football game on Monday, Jan. 2, 2012, in Glendale, Ariz. (AP Photo/Ross D. Franklin)

After initially tweeting out only the words "New Orleans," he sent out another message that read, "I mean ... headed to New Orleans lol ... #SaintsVisit" to his more than 10,300 followers.

He wrote a couple of hours later, "Hello New Orleans !!! #SafeLandings #BumpyRide"

The 6-foot, 202-pound Gilbert posted the fastest 40-yard dash (4.37 seconds) and put up the most reps on the 225-pound bench press (20) among cornerbacks who participated in those events at the scouting combine in Indianapolis in February. He was a Second-Team All-American and First-Team All-Big 12 selection as a senior in 2013, when Oklahoma State went 10-3 and appeared in the Cotton Bowl. He was tied for third in the country with seven interceptions, two of which he returned for touchdowns.

According to NFL.com, Gilbert is a top 15 pick in the draft. The Saints will pick 27th if they keep the first-round selection they have.

In its secondary, New Orleans for now has cornerbacks Keenan Lewis, Corey White, Champ Bailey, Patrick Robinson, Roderick Sweeting, Terrence Frederick and Trevin Wade. They also have safeties Jairus Byrd, Kenny Vaccaro, Rafael Bush and Marcus Ball.

But Saints coach Sean Payton in March said his team is always in the market for a defensive back who is talented at taking the ball away.

Gilbert at the combine told reporters, "Yeah, I think I'm the best corner in the draft. ... I'm not going to let anyone take that from me."

He expressed confidence in his ability to score off picks, saying, "I think I'm a dangerous return man with the ball in my hands and on an interception there is always a possibility for me to take it back to (the) house."