Elliott scored his fifth goal of the season following his summer arrival from Millwall as the third-placed Robins moved level on points with Championship leaders West Brom with a 2-1 home win against Coventry.
His all-action performances in midfield have reportedly attracted the interest of Portsmouth but the 23-year-old is happy at the West Country club.
"I wouldn't know anything about any interest," Elliott told BBC Radio Bristol. "I am loving it at Bristol City. I love the lads, the gaffer and the fans. I have only been here five months and I absolutely love it."