According to the Sun, the couple actually called time on their romance back in June, but have remained good friends.
Friends have blamed the pressure of maintaining their long-distance relationship.
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Their split will come as a surprise to many, given that the couple were spotted together at the end of September attending the NFL American Football game at Wembley.
"They actually split in June so were going out as friends," a source confirmed. "It was a mutual decision so there's no bad feelings. They want to remain good friends."
Another insider told the Metro, "They are still friends and there was no-one else involved.
"A lot of people think they're still together because he came over to the UK but that was to see some other friends.
"They wanted to keep it quiet because they wanted to deal with it, but they've moved on and now they're friends.
"Cheryl's ok, obviously it happened a while ago so that's why he came over, because some time has passed."
It had been rumoured that the British singer was planning to make a permanent move to the States to be with the LA-based dancer.
"The whole issue of him being in America and her being here, they just couldn't make it work," the source added. "Even when she was there it didn't necessarily mean he was in LA.
"Her home is here, her family's here, her dogs are here! She was always going back and forth by you can't have a relationship like that, it just didn't work."
Cheryl, 30 and Tre, 28, met when she performed Promise This on the X Factor in 2010 and went public with their relationship in the summer of 2012.
In November of that year, the notoriously private star opened about her new man in her documentary, Cheryl: Access All Areas.
"There is a stronger connection and a chemistry you wouldn't have with any other dancer," she said.
"To have that relationship is rare, to be able to have it with you and share those moments is pretty special actually."
Cheryl was married to footballer Ashley Cole from 2006 until 2010, but filed for divorce following numerous allegations of his infidelity.