Grissom started at second base and went 0-for-3 in Saturday's spring game against the Rays.
Boston's acquisition of Alex Bregman will impact Grissom, who has minor league options remaining, Jen McCaffrey of The Athletic reports.
Red Sox chief baseball officer Craig Breslow said Tuesday that Grissom added about 20 pounds of muscle over the offseason, Christopher Smith of MassLive.com reports.
Grissom is the "nominal favorite" to open next season as the Red Sox' starting second baseman, Sean McAdam of MassLive.com reports.
Grissom went 3-for-4 with a run scored in Friday's 2-1 loss to Tampa Bay.
Grissom is out of the lineup for Wednesday's game against the Blue Jays.
Grissom went 3-for-4 with a walk, a double, a run scored, an RBI and a stolen base in Tuesday's 6-5 extra-inning win over the Blue Jays.
Grissom started at second base and went 0-for-3 with an RBI in Monday's 4-1 win over Toronto.
The Red Sox recalled Grissom from Triple-A Worcester on Friday.
The Red Sox reinstated Grissom (hamstring) from the 10-day injured list Thursday and optioned him to Triple-A Worcester, Julian McWilliams of The Boston Globe reports.