The busy road's being made two lanes in both directions between Segensworth and Titchfield - it's due to take 18 months.
Florence To Headline Bestival!
Florence + the Machine have been announced as the latest headliner for Bestival.
The Brit Award-winners will join New Order and Stevie Wonder at the top of the bill of the festival which takes place on the Isle of Wight in September.
Other acts picked by event organiser and Rob da Bank include The xx, Sigur Ros, Friendly Fires, Orbital, Frank Ocean and Hot Chip.
Bestival is one of the quirkiest festivals on the UK scene and has become famous for its fancy dress party which this year has the theme of wildlife.
Speaking of the latest line-up addition, Rob da Bank said:
''The first time I met Flo she was whirling around like a spinning-top to a Paul Simon track at a party I was DJ-ing at.
''I hadn't even heard her open her mouth, but she had this alluring vibe already.
''Once I heard her scratchy demo I was sold and, when she did her first radio session for me at Radio 1, I couldn't believe this flame-haired eccentric young lady had such a stunning voice.
''Her shows for us at both Bestival and Camp Bestival over the last few years have always been highlights for many and I'm glad we can finally seal the deal with a headline show on the Friday of Bestival and, with The xx on before her, this promises to go down in the Best of Bestival yearbook.''
Lead singer Florence Welch said: ''We hope we'll find you there in the wilderness with us.''
Bestival takes place at Robin Hill Country Park between September 6 and 9.
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