[3] The trade came after weeks of speculation; it was previously reported Timashov would be on the move to the Moncton Wildcats, but he had refused to waive his no-movement clause to be sent to the club.

As an unsigned restricted free agent with the Red Wings, on 11 December 2020, Timashov's rights were traded to the New York Islanders in exchange for future considerations.

[13][14] On 21 October 2023, Timashov signed a two-month contract with HC Ajoie of the Swiss National League (NL).

Timashov excelled at the tournament, recording seven points in seven games played, and helped Sweden to a fourth-place finish.

His mother remarried there, and it was Timashov's stepfather who introduced him to hockey, buying him a pair of skates for his eighth birthday.