The two parties are negotiating a new Memorandum of Understanding but talks have stalled in relation to, among other things, how female players are being treated regarding a controversial pregnancy clause.  

Talks were slated for this week but have been put off until the new year.

"Cricket Australia is committed to a negotiation that is conducted in good faith between the two parties, but will not take part in a process which seeks to draw its players into a public dispute," a spokesman told AAP on Monday.

"Players deserve the opportunity to focus on the game, rather than being distracted by a negotiation that should be conducted in a professional and confidential manner.

"In the period that will see tens of thousands of fans enjoy BBL matches, and the cricket community prepare for another Boxing Day Test, that cannot be assured if discussions continue under current arrangements with the ACA."

Cricket Australia chief James Sutherland last week defended the organisations stance regarding the pregnancy clause.

"We've had lots of conversations about it with them in recent times to come up with the wording ... that keeps the health and safety of women, and their babies, first and foremost," Sutherland told AAP.

"We've got strong and clear alignment around this policy with the ACA ... to say we're stopping a pregnant woman from playing or from being able to sign a contract, that's simply not the case."