Bradford City loanees went to cheers on parent side West Ham against Blackburn.
West Ham United fans had a pair of surprise attendees in tow at Ewood Park on Sunday.
Cullen re-tweeted the above photo from his Twitter account, with he and Burke on either side of two supporters.
They were rewarded by seeing the team win 5-1 against Blackburn, progressing to the quarter-finals of the competition.
Burke, a centre-back, and Cullen, a midfielder, are both featuring on loan for League One side Bradford City, with Burke starting a day earlier in the 2-2 draw with Rochdale.
HITC reported earlier this month how Bradford fans had been raving about the defender and backing him for Premier League success after a particularly impressive performance against Southend United.
The duo's day out supporting the Hammers in the away end along with travelling fans will only strengthen their bond with the team and increase their desire to step up their progression and break into the first team.