The Britain's Got Talent judge was personally approached by Lord Andrew Lloyd Webber to front the search for a new musical star, the Sunday Mirror reports.
Holden, who returns to ITV1 with Britain's Got Talent on Saturday, will begin filming the series in summer if all goes to plan.
"Amanda is the perfect lady for the Jesus Christ Superstar role as she has first-hand experience of what it is like to be on the West End stage from Shrek and Thoroughly Modern Millie," a source said.
"She has taken the job in principle and now contracts need to be worked out."
Mel C and Jason Donovan recently served as guest judges for the callback stage of the auditions.
Nicole Scherzinger has been tipped to become a judge on Jesus Christ Superstar following her axe from The X Factor USA.