Earlier this week, Charlie Methven, its executive director, confirmed the club was looking at drawing up a fresh, more simple design to put on kit and merchandise.
His comments were first made during a meeting with the Supporters' Collective group held at the Stadium of Light, with the minutes published via the Red & White Army website.
Sunderland at Wembley: Fans raise 'virtual tip jar' fundraising target to thank staff at Covent Garden pub after smashing original total
19 Sunderland locations hosting Queen's Platinum Jubilee street parties
Police appeal for help in finding missing Sunderland man Anthony Scott
Sunderland at Wembley: London pub landlord thanks SAFC fans for ‘bumper weekend’ after League play-off final victory over Wycombe Wanderers
Sunderland sex offender fled without trace after fatal arson attack at hostel - and moved almost 300 miles away
Fans have given the suggestion a mixed reaction, with some calling for the old badge, which featured a ship, to be brought back, while others have backed a new look or shunned the idea of another change.
Our poll, which asked whether supporters backed a change on the crest, found 49% of voters wanted to keep the current badge, 34% wanted it to revert it back to the old ship crest and 17% would back a new design.
Mr Methven then discussed the idea further in an interview with the Echo.
However, Mr Donald has since told listeners of BBC Newcastle's Total Sport he was not considering the change after a fan got in touch pleading to leave the crest as it is.
He said: "I think this has come from one of the fan groups and had mentioned to Charlie about the possibly of changing the badge, as I understand having checked it.
"I'm not 100% sure what Charlie said, I haven't checked that, but the club badge isn't for Charlie or I or the board to change, it's for the fans.
"If the fans wanted to change the badge, we'd have a poll and make a change if that's what they wanted to do.
"But it would be expensive to change the badge, it's everywhere, so we would like to keep it as it is.
"It comes to January, you want to spend half a million on your squad and you're changing the badge around."
It was pointed out it was on the gates of the stadium, its seats and Mr Donald also added: "A lot of human beings' bodies and they won't be best chuffed."
More about the Red & White Army can be found here.