All 312 supporters who made the 386-mile trip will be given their money back by the squad.
Bristol chief Lee Johnson said: “The refund shows the players care.
“They felt guilty and embarrassed on Tuesday, and it’s the right thing to do.”
Next up for City is a home game against Wolves on Saturday.
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Crucially, it is one of four home games in their remaining six fixtures as the bid to avoid the drop to League One.
The Ashton Gate side are currently 21st in the table heading into the run-in.
They have lost 18 of their past 29 league games as the club plummeted following their bright start to the season.
312 supporters made the trip to watch Bristol City get thrashed by Preston on TuesdayRex FeaturesStar striker Tammy Abraham was unable to help Bristol City from being humiliated at DeepdaleRex FeaturesBristol City are now just a point above the relegation zone after a run of four wins in 29 matchesRex Features
City have won just four times during that miserable run.
It appeared they had turned the corner following a four-match unbeaten run last month, which included victories over Huddersfield and Wigan.
However, successive defeats at Brentford and then the Preston debacle have dragged them right back into trouble.
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