Premier Denis Napthine says the Victorian Parliament will make a judgment on whether the apology is sincere.
"But initially the judgment will be made by the speaker who will receive his prepared speech and will make her judgment on that," he says.
Planning Minister Matthew Guy said he hoped Mr Shaw would apologise in a sensible and honest way.
Asked whether Mr Shaw should be expelled, Mr Guy said MPs will make a judgment on whether the apology is genuine first.
"I think a straight-forward, commonsense judgment on sincerity is obviously practical," he told reporters on Tuesday.
"Wait and see what he has to say first, then we'll have a look at obviously what actions the government or the parliament takes from that point on."
Former speaker Ken Smith, who was forced to quit his role this year after Mr Shaw said he had no faith in his ability to control parliament, said he will listen to the apology like everyone else.
"I think we'll all be able to make some sort of judgment about whether it's fair dinkum or not," he told reporters.
If Mr Shaw fails to comply with the orders set by the parliament by Tuesday, he faces expulsion.
Treasurer Michael O'Brien said whether Mr Shaw should be expelled was a matter for the house.
"The house has made it quite clear what the ground rules are and Mr Shaw must comply with those rules that'd been set by the parliament."
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