The pair - who play on-off lovers Liam Murphy and Bianca Scott on the Summer Bay soap - went public with their real-life romance at the Australian X Factor final on Monday night, The Daily Telegraph claims.
A source told the newspaper: "They looked very, very cosy and were obviously enjoying each other's company at the finale. They have worked with each other this year but what was a friendship has ignited into something else."
Meanwhile, show insiders told the publication that the duo are "very happy" together.
On screen, Liam and Bianca became a couple earlier this year, but matters were complicated when Bianca's ex-boyfriend Vittorio arrived in town and she was forced to choose between them.
Whitehead and Gormley's fellow cast members Luke Mitchell (Romeo Smith) and Rebecca Breeds (Ruby Buckton) are also an item in real life.