It was reported that Rivera, 27, was fired from the show due to her alleged feud with co-star Lea Michele as well as arguing with producers.
However, Rivera's rep denied these reports calling them "untrue", according to The Hollywood Reporter.
"Any reports or rumours circulating that Naya Rivera was let go or fired from 'Glee' are absolutely untrue. End of story."
'Glee' producers 20th Century Fox Television declined comment on the alleged rift between Rivera and Michele.
Earlier this month, rumours of a feud between the two co-stars surfaced after an alleged on-set altercation.
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Created by Ryan Murphy, Brad Falchuk and Ian Brennan, 'Glee' follows a glee club called New Directions at William McKinley High School.
On the show, Michele stars as the character Rachel Berry and Rivera plays cheerleader Santana Lopez. In the current fifth season, several of the glee club members have graduated from high school and moved on to New York City.
Back in October, it was announced that Glee's sixth season will be its final year.