Their performance during tonight's Academy Awards is one of the most talked about moments of the night as fans commented on the pair's sizzling chemistry.
Earlier this evening, Bradley's partner, Irina Shayk, was branded "jealous" when she was spotted sitting in-between the actor and his A Star Is Born co-star.
The pair wowed fans with their heartwarming relationship in the Oscar nominated film, and their relationship off-screen has also been hitting the headlines this awards season.
Taking to the stage during the ceremony tonight, 44-year-old Bradley and Gaga, 32, gave a heartwarming rendition of Shallow, which won the Best Song Academy Award.
Starting innocently enough, viewers couldn't believe their eyes as the song drew to a close and Bradley sat beside newly single Gaga while she played the piano.
The two stars put on a steamy display as they smiled at one another – with fans taking to Twitter to share their reaction to their near-kiss.
One fan said: "Lady Gaga was really about to kiss Bradly Cooper lmaooooooooo."
Another added: "Am i the only one who noticed that Lady Gaga and Bradley Cooper almsot kissed while performing."
Someone else added: "Also Lady Gaga almost kissed him and I cried."
One fan wrote: "Lady Gaga and Bradley Cooper are electric."
Another tweeted: "Lady Gaga and Bradley Cooper are in love and should get married. Y'all can't deny their crazy chemistry."
A third said: "Life goal is to find someone who looks at me like Gaga and Bradley look at each other. "
And viewers also believe that Gaga and Bradley's close relationship is getting to the actor's supermodel partner, with eagle-eyed fans spotting the 33-year-old sitting firmly between him and the singer once inside the Dolby Theatre.
Taking to Twitter, one fan branded the supermodel "jealous", sharing a screenshot of the trio and writing: "Irina got jealous so she sat between Bradley and Gaga, the pettiness jumped out #Oscars."
Another added: "Irina Shayk sitting between Bradley Cooper and Lady Gaga screams bad b**** energy #Oscars".
A third said: "I feel like Gaga and Bradley Cooper not sitting next to each other was definitely Irina Shayk's doing."
Earlier this week, it was reported that Bradley and Gaga "acted like a couple" at a pre-Oscars party.
Speaking to Us Weekly after the swanky CAA do on Friday night, an insider said that Gaga and Bradley were "in a corner together all night," and "they looked so close, they almost seem like a couple".
Fans have previously speculated that Gaga is "in love with" Bradley after she repeatedly gushed about the actor in interviews.
The singer further fuelled the rumours when she split from fiance Christian Carino last week.
One fan said: "Lady Gaga split from her fiancé because her and Bradley cooper are in love."
Another wrote: "Watching Lady Gaga and Bradley Cooper fall in love live is pretty crazy."
A third tweeted: "Bradley Cooper and Lady Gaga are secretly in love and no one can convince me otherwise."
Both Gaga and Bradley were both nominated in the Best Actress and Best Actor categories respectively at tonight's Oscars.
But Bradley lost out to Rami Malek while Gaga was pipped by Olivia Colman.
Irina and Bradley have been together since 2015 and have a one-year-old daughter together.
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