They've only been together for a short time, yet rumors are now flying that Bradley Cooper and Irina Shayk are already engaged and a wedding is not far off the horizon.

According to OK! Magazine, as shared by Celebrity Dirty Laundry, Bradley Cooper and Irina Shayk are already house-hunting together in New York, which it took to mean that they are already planning a wedding.

"Things are moving really quickly for them. Bradley told Irina he loves her and asked her to move in with him, and she didn't hesitate to say yes," the source alleged.

Bradley Cooper and Irina Shayk started dating in May this year after her breakup with Cristiano Ronaldo and his split from model Suki Waterhouse, who's even younger than the "American Sniper's" newest girlfriend.

A report from The Sun tabloid, claimed that the footballer was cheating with the model.

"Now I know the truth and I feel completely betrayed. I trusted him and stuck up for him when there were rumors he had been with other women. I feel stupid that Cristiano has fooled me," Irina Shayk reportedly told her friend.

A source told E! News that on their vacation in Italy, "They were always together. They were all smiles and kisses. They were living life to the fullest."

The source added that Bradley Cooper and Irina Shayk are very serious about each other.

"Bradley and Irina couldn't be in a happier place in their relationship. They have gotten to know all of the little things about each other during this trip to Italy," the source alleged.

"Their attraction for each other just keeps on getting stronger and they always want to be in each other's corner."

Bradley Cooper and girlfriend Irina Shayk just finished their two-week vacation in Italy where they engaged in a lot of PDA, unmindful of the paparazzi hounding their every move.

The couple has yet to issue a statement on the engagement and wedding rumors.