Speaking to Turkish sports newspaper Fanatik in a recent interview Bilic said: “Everyone knows how much I like Tore he is an excellent player and I want him at West Ham.”
Bilic also stated that the Hammers are not currently in talks with Besiktas over the transfer of Tore.
The former Besiktas manager did however, say that West Ham are not in direct talks which raises the question of whether negotiations are being being carried out through intermediaries.
“We are not in direct talks with Tore,” he added.
Tore is currently in Germany recovering from injury and is expected to return after the international break.
The former Chelsea youngster excelled under the stewardship of Bilic who coached Besiktas for the past two seasons establishing himself as one of the most highly sought after players in the league.
West Ham were linked with Tore over the summer but talks stalled after Besiktas ruled out selling the Turkish international winger.
Tore still has another three years remanning on his contract but Besiktas president Fikret Orman has confirmed that the club will listen to offers at the end of the season.