The Cowboys & Aliens star plays Dr. Remy 'Thirteen' Hadley on the Fox medical drama, but appeared in just seven episodes last season due to her film commitments.
"[She will] not [appear] a lot [next season] unfortunately," Shore told TV Line. "She's a movie star."
He added that Wilde is currently expected to appear in "something like" one or two episodes of the new run.
"I regret losing her, but, again, this was not our choice," he said. "Things happened at the end of last season that I wasn't happy about and I hadn't planned for."
However, Shore insisted that he is "very happy" with the coming season, which will introduce new regular characters played by Odette Annable and Charlyne Yi.
"This has turned out to be a real opportunity," he claimed. "We're really doing some cool stuff at the start of the season and it's pumped some fresh blood into the show."
House will return to Fox on October 3.
> House exec teases Odette Annable role
Watch the final moments of House's seventh season below: