The 'Let Me Entertain You' hitmaker is reportedly planning a third installment of his swing LP series to coincide with his upcoming Las Vegas residency and thinks the 'Greatest Showman' actor would be the perfect duet partner.
A source told the Sunday Mirror newspaper: ''Robbie has the wheels in motions to plot out another swing album.
''If he gets this right, it really could be the beginning of him cracking the US market after so long. The idea of Hugh and Robbie on stage together would be dynamite.''
The source added: ''A duet with Sacha on a funny number would be amazing and a tune with a Vegas great like Tony Bennett could be enormous.
''It is exciting times as he formulates ideas and track listings for the album.''
The 44-year-old singer's first swing album, 2001's 'Swing When You're Winning', featured collaborations with the likes of Nicole Kidman, Jane Horrocks, and Jon Lovitz, as well as a posthumous duet using a recording of Sinatra, while his 2013 record 'Swing Both Ways' saw guest appearances from Michael Bublé, Kelly Clarkson and Rufus Wainwright.
And the former Take That star later admitted there were movie stars he'd been eyeing for the second record that had been too busy to get into the recording studio with him, but he hoped he could get them involved in a future album.
He said: ''There were a few people I wanted that were busy working on films that I might get next time. But at the top of my list were the people on the record, and I was lucky to get them all.''
What's new in the music world this week?
LCD Soundsystem was released on this day (January 24) in 2005.
Watch three incredible live performances from Discovr.TV.
Don't miss the K-pop titans' return to Europe.
Listen to Alex Bayly performing 'Animal'.
Two weeks ahead of Independent Venue Week, Dry Cleaning made 'Britain's Best Small Venue 2015' (NME) the second port of call on their 2020 tour.
For their last gig of the year, The Libertines came back to their adopted hometown of Margate to finish off their latest tour.