The 44-year-old former Take That star - who is married to actress Ayda Field - is hoping to have a new pool constructed in his West London home, but Jimmy has strongly opposed the move over the last four years, arguing it would be ''catastrophic'' for his own property.
However, Kensington and Chelsea Council's planning committee has deferred a decision, meaning the battle is set to rumble on.
The row between two of the UK's most high-profile musicians was sparked shortly after Robbie bought the house from film director Michael Winner.
Jimmy, 74, has lived in his current home since 1972 and has opposed Robbie's plans because he fears the vibrations caused by the construction work could lead to irreversible damage.
The former Led Zepplin star previously detailed his concerns in a two-page letter to the council, telling the local authority that his home is ''one of the most historic buildings in the borough''.
He explained: ''Having protected the Tower House for over 40 years, I am now continuing the fight against a new threat to this precious and unique building.''
Jimmy has also attended a council planning meeting where the controversial application was discussed.
He told the councillors: ''I feel it is my duty to protect that house, I really do.''
Robbie's plans - which he submitted to the local council in January - include designs for a swimming pool and a gym facility to be constructed underneath his London house.
Kensington and Chelsea Council have now decided to defer the decision and although the issue remains unresolved, Jimmy has insisted he's ''very pleased'' with the outcome.
He said: ''I think the deferment was a very good conclusion.''
From their newest EP 'What Did You Think When You Made Me This Way', Nothing But Thieves drop the lyric video for their single 'Take This Lonely...
The Lumineers honour their friend and hero Tom Petty with a sensational cover of his 1996 song 'Walls' from the 'She's the One' soundtrack.
Watch Olly Murs get his nerd on as he blags his way into an exclusive Snoop Dogg party (where Rowan Atkinson is the bartender) in the video for their...
From 'Happy' to 'Banana Pancakes', these are soaked in positivity.
Mariah Carey is the picture of glamour in the black and white video for her brand new single 'With You'. It's the lead single from her forthcoming...
Eminem draws attention to the negative response his 2017 album 'Revival' received in the video for his latest song 'Venom'; a song recorded for the...
With the recent release of her third, very well received album 'Hunter' just behind her, Anna had plenty of relatively new songs to showcase.