The 6-foot-3, 249-pound linebacker was the No. 190 pick overall. He'll join the Rams organization as they transition from St. Louis to their first year back in Los Angeles.
It marks the ninth straight year that a UK player has been selected in the draft, including linebacker Bud Dupree and defensive end Za'Darius Smith going last year to the Pittsburgh Steelers and Baltimore Ravens, respectively.
Forrest, a native of Paducah, led the Wildcats in tackles in each of the last two seasons, recording 110 as a junior and 93 as a senior. He also had four interceptions during his final two seasons at UK.
As a junior, he ranked third in the SEC in tackles per game, including a 20-tackle game against Tennessee and a 15-tackle effort against South Carolina. His career totals include 232 tackles, 15.5 tackles for loss, 4.5 quarterback sacks, five interceptions, seven pass breakups, two fumbles caused and four quarterback hurries.
Forrest was recruited to UK as a receiver/safety out of Paducah Tilghman High School but made the transition to linebacker as he matured physically.
NFL.com's pre-draft analysis said of Forrest: "A WILL linebacker with the size and range teams look for... With his athleticism and length, teams may be tempted to try him out as an edge rusher, but he is a much better straight-line blitzer through the A and B gaps than he is around the edge."