Andrew Garfield is permanently ''starry-eyed'' around Emma Stone.

The 'Amazing Spider-Man 2' actor, who is notoriously shy about discussing his real-life romance with his co-star, 25, is still completely smitten with the actress and can't keep his hands off her in private.

A friend close to the British star, 30, told PEOPLE magazine: ''They almost seem to be in their own world when they spend time together. They have the kind of loving chemistry that makes other people jealous.

''It's very comfortable between them. When Andrew talks about Emma, a light comes over him. He gets starry-eyed.''

The couple have been together for almost three years but the insider insisted they are in no rush to get married.

The source added: ''Their relationship seems very real and very sweet.''

Andrew previously admitted that he felt an instant connection to Emma when she first auditioned for 'Spider-Man' in 2011.

He said: ''Em was the last, on the last day. I was knackered. I was toast. She came in, and I woke up. She just made me laugh.''

The duo recently returned to Los Angeles from a world tour to promote their new movie, and Emma is set to attend the EIF Revlon Run/Walk in New York City on May 3 in support of her mother, Krista, a breast cancer survivor.