Apple has reportedly signed deals with three major record lables for cloud-music rights (Michael Temchine/FTWP)

Fresh on the heels of a report that Apple has sealed a deal with EMI Music Group, Bloomberg reported Thursday night that the company has also inked an agreement with Sony Music and Warner Music.

Citing sources “with knowledge of the deals,” the report said that the agreements give Apple a green light to move forward with a music service that lets users store content on Apple’s servers and access it from the Web.

Unlike the music services from Google and Amazon, Apple customers won’t have to upload their music to the cloud.

The company is also said to be close to finishing a deal with the largest music label, Universal Music Group, and the report speculates Apple may be able to unveil the service at its Worldwide Developers Conference in June.

Related stories:

Report: Apple signs with EMI for cloud music rights

Google I/O: Android 3.1, Ice Cream Sandwich, Music Beta

Amazon Cloud Player puts your music on the Web