The Belgium international won La Liga in his debut season at the Vicente Calderon, but the defender only started 12 games following his arrival from Dutch champions Ajax last summer.
With the 25-year-old expected to play second-fiddle to Diego Godin and Joao Miranda again this term, Viv Alderweireld, who represents his son, says that the centre-half is seeking a short-term move away from Atletico amid reported interest from the Premier League.
"We have since last year been in several discussions about moving and Atletico understand that we do not think it makes sense to let Toby another year on the bench," Viv told Het Nieuwsblad.
"He wants to play. If there is a solution, Atletico will not stand in Toby's way.
"A loan move would be the best option, so we can revisit the situation next year."
Alderweireld has a contract with Atletico until June 30, 2017, after signing for the club a year ago for an estimated €7 million.
Since the start of the summer, Liverpool, Arsenal and Tottenham have all been linked with he Belgian.