Convicted killer Kieran Loveridge has been charged with bashing a Rebels bikie member in Silverwater jail.

Loveridge is serving more than 10 years over the fatal one-punch attack on 18-year-old Thomas Kelly at King Cross in 2012.

He's been charged with affray, accused of punching Rebels president Matthew Rymer in the face during ongoing tensions between rival bikie gangs in the jail.

More to come.