Standing in front of a full length mirror, the 25-year-old appears to be ready to give birth any day, while Paul cheerfully stands by her side drinking a mug of coffee.
A tweet accompanying the image, which was posted on Tuesday, reads: ‘How huge am I?!!’
The former Jam and Style Council star married Hannah on the picturesque Italian island of Capri in 2010 after they met while Paul was recording seminal 2008 album 22 Dreams, on which she features as a backing vocalist.
As well as the twins, Paul is already a father to grown-up children Leah and Natt from his nine-year marriage to singer Dee C. Lee – a former band-mate in The Style Council.
The 55-year-old also has a daughter, Dylan, from a brief relationship with a make-up artist called Lucy, as well as children Stevie Mac and Jesamine with Samantha Stock – who he met while recording at now defunct studio The Manor in rural Oxfordhsire.
Following his separation from Stock in 2008 Paul met and fell in love with Hannah, the mother of his beloved twins.
Talking to The Mirror in 2012, Weller opened up about being a father, as well as his decision to have children in his '50's.
‘You get certain people who go “Ooh, seven children with four women” and all that,’ he said. ‘But I don’t care, man. I love all my kids. They’re all special and I wouldn’t have it any other way.
‘I don’t mean that in a morbid way but, because of the age difference between me and my wife, I really want to leave part of me with her, so there’s that as well.’
The Modfather: Legendary musician Weller has eight children in total with four different women