Conor McGregor's former sparring partner says he's down to put their beef aside and train the UFC superstar ... but there's a catch.
Chris van Heerden -- former IBO welterweight champ -- and McGregor sparred in May, 2016, but parted ways after video surfaced of them training.
Conor's most recent partner Paulie Malignaggi quit Thursday under similar circumstances ... when photos leaked appearing to show P.M. getting knocked to the canvas.
CVH says he talked to Malignaggi Thursday night about what really went down ... and understands why he wants to full sparring video released.