The midfielder's future in west London will be the subject of much speculation this summer with Chelsea yet to make a contract offer to the 24-year-old, whose current deal runs out at the end of the 2024-25 season.
Conor's mitted comperformances, lung-busting energy and easy-going personality have made him a favourite with each manager he's worked under and Southgate is no different.
Conor's proud family will be travelling out to Germany to support the Surrey-born midfielder as he looks to play his first minfor utes the senior England squad at a major tournament, after being an unused substitute in the 2022 Qatar World Cup.
When they aren't cheering on the Three Lions, Conor's three older brothers have their own football focus this summer with twins Josh and Jake, 31, at Isthmian League South Central Division title hopefuls Raynes Park, and Dan, 26, expecting to be part of an assault on the National League South crown with Dorking Wanderers in 2024-25.
Since Josh took over as Raynes Park manager in May 2021, bringing in his twin Jake, a former England C international, as a player-coach shortly afterwards, Conor has often been seen supporting his siblings at Raynes Park's ground.
The connection has led many to assume the Chelsea player has been subsidising the budget at Grand Drive - with the south-west Londoners winning the Combined Counties League Premier South title in 2022-23 and then narrowly missing out on the Isthmian South Central play-offs in 2023-24.
But Josh is adamant that could not be further from the truth.
"Conor hasn't put a penny into Raynes Park," he said. "I can see why people would say it but, honestly, I wouldn't let him even if he wanted to.
"As far as contributing financially I'm not even sure he pays to get into the ground! He has bought a few cups of tea though.
Moral support
"People like to gossip.
There's so much of that in Non-League football.
Denne historien er fra June 02, 2024-utgaven av The Non-League Football Paper.
Start din 7-dagers gratis prøveperiode på Magzter GOLD for å få tilgang til tusenvis av utvalgte premiumhistorier og 9000+ magasiner og aviser.
Allerede abonnent ? Logg på
Denne historien er fra June 02, 2024-utgaven av The Non-League Football Paper.
Start din 7-dagers gratis prøveperiode på Magzter GOLD for å få tilgang til tusenvis av utvalgte premiumhistorier og 9000+ magasiner og aviser.
Allerede abonnent? Logg på
I'M READY FOR A NEW PROJECT
LEAGUE One, League Two, National League John Coleman doesn't care. He just wants to manage a club with scope for 'doing an Accrington'.
BEARNE'S DOUBLE IS A PITMEN TRIUMPH
HEDNESFORD Town marched on as this tie was settled in the first 21 minutes with a glut of goals in favour of the Pitmen.
STAG-DO SPOILED BY LIAM DOUBLE
AFC Totton and Basingstoke played out an entertaining draw at The Snows Stadium.
FOALLE'S THERE AT DEATH TO STEA IT!
A GOAL with almost the last kick of the game from Jack Foalle saw Ashton's unbeaten start to the season go up in smoke at Hurst Cross after they had hit the post in each half.
TUDORS STAY TOP THANKS TO AJAYI!
HEMEL HEMPSTEAD TOWN secured a crucial victory over Slough Town that solidifies their position at the top of National League South.
MOLS ON ROLL AS NASH GO SECOND!
CURZON ASHTON moved up to second place after doing a job on former boss Adam Lakeland and his King's Lynn Town side at the Walks.
REAL DEAL HEED KEEP PILING ON THE POINTS
GATESHEAD scored early in each half to strengthen their position at the top of the table after they stretched their unbeaten start to the season to seven games.
JOSH JOY DELIGHTS DAGGERS BOSS BEN
JOSH UMERAH marked his first league start for Dagenham & Redbridge by grabbing the goal that ensured a share of the spoils at Maidenhead.
DOGGED DALE WILL NOT BE MOVED!
ROCHDALE cruised to victory with a superb first-half performance which settled the age-old debate as Dale's immovable defensive object blunted Aldershot's previously irresistible attacking force.
SPITFIRES BACK IN THE GROOVE
EASTLEIGH bounced back from their last-gasp defeat at Gateshead last weekend as they edged past lowly Tamworth in a lackluster affair at the Silverlake.