Rivers is coming off his pro day at USC last week and appears to be entrenched as the draft's top linebacker.
Rivers announced the meeting on his blog, where he mentioned that he also has meetings set up with New England, Dallas and Detroit.
Rivers is considered the No. 1 middle linebacker in the draft and in many mock drafts he is being taken in the Top 10. NFL Network's Mike Mayock has the Saints taking Rivers in his latest mock draft.
Rivers is coming off an all-America season with the Trojans. Here's what Scout.com's Tom Marino wrote about Rivers in his 2008 NFL Draft Guide:
" Has outstanding playing skills, runs extremely well and has very good playing instincts. Has absolutely great intangibles. Good first-step quickness and the ability to find the ball on the inside. Doesn't linger on blocks and closes to the ball extremely well. Will fail to secure at times, but overall was a solid tackler. Versatile; could play all three linebacker positions and never has to come off the field in sub packages."
The Saints re-signed Mark Simoneau and signed free-agent Dan Morgan last month, but the majority of their linebackers have logged at least six years in the NFL and a shot of youth could be needed.
Rivers to rank second on the team with 78 tackles (44 solos), including five stops for losses of 15 yards and one quarterback pressure. He recovered three fumbles and caused another. He also deflected four passes.
He missed one game last year due to an injury and had offseason surgery to remove bone spurs from his ankle.
Matthew Postins is the publisher of Saintsinsider.com. He is an award-winning member of the Pro Football Writers Association.