Goal says West Ham are in desperate need of striker with injury prone Michail Antonio their only recognised front man on the books.
Larsson is on the radar of both teams.
Spartak signed Larsson from Swedish side Norrkoping for £3.5million in August 2019.
The Sweden international has bagged 12 goals for Spartak in 23 Russian Prem matches so far this season.
He was also voted the club's player of the month for March.