The Australian Greens will support Labor's media reforms if the government agrees to amendments that limit the number of press councils and tighten the public interest test for media mergers.

They want the other crossbenchers in the lower house to recognise this could be the last chance in a long time to make any changes to media laws and "not throw the baby out with the bathwater".

Greens communications spokesman Scott Ludlam said it was still possible for the legislative package to pass with the two simple changes.

First, the Greens want tighter standards for accreditation as a press council.

Senator Ludlam said while the ideal number of press councils was one, he recognised that Seven West Media had already set up its own regulatory body separate from the Australian Press Council (APC).