Although no deal has been reached yet, sources say the Ravens are interested in possibly signing him to bolster the inside linebacker position and Smith wants to join the Super Bowl champions.
If a contract is worked out with two sources predicting that a deal is likely to happen, the Ravens aren't expected to make a major financial investment.
The Ravens will also need to evaluate Smith's health. He was limited to two games last season after a serious groin injury.
Smith, 31, is a 6-foot-2, 248-pounder entering his 10th NFL season. He has a reputation as a sound tackler with good range and leadership skills.
Smith started two games and recorded six tackles last season, but he had started every game the previous three seasons. Two seasons ago, Smith had 107 tackles, one interception and two forced fumbles with a career-high eight pass deflections.
Smith visited the St. Louis Rams in April, but left town without a deal.
A former second-round draft pick from Georgia Tech, Smith has recorded 678 career tackles, 21 1/2 sacks, six interceptions and nine forced fumbles.
Plus, starter Jameel McClain still isn't fully cleared from a spinal cord contusion, Rolando McClain retired while dealing with multiple legal problems and second-round pick Arthur Brown is sidelined until training camp after undergoing sports hernia surgery.