Greens MP Adam Bandt has said he is looking forward to a decision today from Environment Minister Tony Burke on grazing of cattle in the Alpine National Park.

Mr Bandt said he hopes the Minister makes the right decision, but if not he will push ahead on Monday with a debate on his bill to outlaw the cattle grazing.

"I am looking forward to hearing some good news from the Minister today", Adam Bandt said.

"It is clear the cattle must be removed and the Victorian government's vandalism of the park overruled."

"The problem is getting worse, with at least one cattleman saying he is putting his own cattle into the park in addition to those that are part of the Victorian government's so-called trials."

"The Minister needs to act."

"If we dont get the right decision today, I will move ahead on Monday with a debate on my bill to outlaw the cattle grazing."

Mr Bandt's Environment Protection and Biodiversity Conservation (Abolition of Alpine Grazing) Bill 2011 is due to be debated in Federal Parliament on Monday.