The musician, who is at number one in the album charts with Blur's latest release 13, is expecting a child with artist girlfriend Suzi Winstanley.
Albarn, who is currently in the US to promote Blur's sixth album, has been seeing his partner for nearly a year and their child is thought to be due in October.
A friend who confirmed the rumour said: "They're absolutely delighted. The pair of them are completely smitten with each other."
They two got together after Albarn split-up from with his partner of eight years, Justine Frischmann, from the band Elastica.
Albarn is the latest in a line of pop stars who are becoming parents.
Spice Girls Victoria Adams and Mel B became mothers in 1999 and All Saints singer Melanie Blatt gave birth last year.
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Blur go live with 13
(14 Mar 99 | Entertainment)
CD Review: Blur
(14 Mar 99 | New Music Releases)
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