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Taylor Swift and Calvin Harris are 'slowly becoming each other's muses', according to reports.

The Blank Space singer and the Scottish DJ made their official debut as a couple at the Billboard Music Awards on Sunday. But the 25-year-old is reportedly into Calvin musically as well as romantically.

'They're crazy about each other, but are really stimulated by their unique approaches to songwriting,' a source told the American edition of OK! Magazine. 'They're slowly becoming each other's muses.'

According to the insider, their collaboration started at Taylor's house during one of their super-secret visits. Calvin reportedly jumped on her piano and started singing to her before the Shake It Off singer grabbed her guitar and joined in.

'They often end up in fits of laughter, but they've come up with some very interesting melodies and lyrics and she wants to record some of them,' the source continued.

Taylor was first linked to the 31-year-old after the Brit Awards in February. The pair were seen out and about in Nashville, Tennessee, back in March and finally put on a public display of affection at the Billboards ceremony in Las Vegas at the weekend.

Taylor swept the board, picking up eight awards from the 14 categories that she was nominated for. After her name was announced, the blonde beauty enthusiastically hugged Calvin who was sitting next to her.

It follows reports that the singer is crazy about the Summer producer.

'Taylor's going for it. She's been off the dating scene for so long, she's gone 'Calvin crazy' since they started seeing each other," an insider told British magazine Look last month. "Taylor was wary of stepping on his ex Rita Ora's toes, but she's a sucker for his Scottish accent, and after Vegas [where Taylor visited during his DJ set] she started taking him more seriously."