Elliott, who plays Syed Masood in the soap, was unable to attend the party his family had arranged, AOL reports.
"My twin sister wasn't very happy, as we were having a big party together," he said. "We had to delay it because I was filming."
However, Elliott added that most of his family enjoy watching him in the programme.
"They always loved the show before I started on it," he explained. "We'd always sit down together to watch the Christmas Day episode.
"But my eldest sister Melissa is more inclined to watch the other channel. She thinks life's miserable enough without having to see all the drama on television."
Elliott's character is currently involved in a blackmail plot regarding his gay relationship with Christian Clark (John Partridge).