The West Ham boss saw his side turfed out of the FA Cup by the club he played for in two Wembley finals of the EFL Trophy during the 1980s after a fiery third round replay.
And it was Scotland Under-21 ace Conway who did the damage to the 10-man visitors.
Bristol City could not have hoped for a better start as Konstantinos Mavropanos gifted the Championship club the opener in three minutes.
His back-pass from wide on the touchline lacked the pace to reach Lukasz Fabianski and Conway nipped in to round the keeper before producing a fine finish from a tight angle.
The Hammers had to play with 10 men from the 51st minute when Benrahma was sent off for kicking out at Joe Williams, following a foul on him, which earned the City midfielder a booking.
Both keepers made important saves as Liam Manning's team held on to earn a fourth round tie with Nottingham Forest or Blackpool.
Denne historien er fra January 17, 2024-utgaven av Daily Record.
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 January 17, 2024-utgaven av Daily Record.
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
REDS LOOK GOOD TO SECURE TOP SLOT
Arne's boys pass biggest test yet to hit the summit
Stick together in Italy & we have a puncher's chance
Kyogo says it's time for Hoops to show Europe what they can do
Clement made promises of jam tomorrow but in reality Gers are leaving their fans with just a bad taste in the mouth
THEY had been waiting for this moment to come along ever since leaving Parkhead with their tails tucked between their legs. For weeks now, they were hoping it might drop out of the sky and land at their feet.
Mr Gates doesn't do small talk.
Tycoon urges UK to maintain lead role in helping the world's poorest
SALMOND FUNERAL TO BE 'NEXT WEEK'
St Andrew's Day and Hogmanay among possible dates for public memorial
ASHLEY BANJOED
80mph winds wreak havoc across country
PREMIUM BOND
Unique image publicised Diamonds Are Forever
King Charle must have a translator to give Dad a gong..don't think he speaks Craiglang!
Life of public service earns trip to Palace
Crown under
King tells of love for Oz amid warm greeting in Sydney
Fave Chris' Strictly tour flaw
Bookies' No1 faces stand-up date clash as Merse is given the boot