Per NFL Network's Ian Rapoport, West will meet with the Bucs on Saturday.
Sims appeared in all 16 games for the Bucs last season. He finished fifth on the team with 35 receptions and led all Tampa Bay receivers who were targeted at least 20 times with a 74.5 catch percentage.
West has played with the Cleveland Browns, Tennessee Titans and Baltimore Ravens in the past four seasons. The 27-year-old ran for a career-high 774 yards with the Ravens in 2016 before a calf injury limited him to five games last year.