Svechkov was assigned to AHL Milwaukee on Tuesday.
Svechkov scored a goal on two shots and blocked two shots in Saturday's 3-2 overtime loss to the Wild.
Svechkov was recalled from AHL Milwaukee on Saturday.
Svechkov (lower body) was activated from the injured non-roster list and assigned to AHL Milwaukee on Monday.
Svechkov (lower body) was placed on the non-roster list Sunday.
Svechkov sustained a lower-body injury and is week-to-week, Nick Kieser of 102.5 ESPN Nashville reports Tuesday.
Svechkov was reassigned to AHL Milwaukee on Sunday.
Svechkov signed a three-year, entry-level contract with Nashville on Friday.