Boxberger, who led the American League with 41 saves in 2015 to earn his first All-Star nod, was limited to 27 games last season due to injuries.
"We'll just have to wait and see," Cash said following Tampa Bay's 3-2 victory over the Blue Jays at Florida Auto Exchange Stadium.
"The last thing we want him to do is feel like he's got to rush something. We want Box healthy for most of the season.