Among a number of supplementary order papers, most of which deal with technical aspects of the bill, Mr Heatley has introduced a measure which deals with situations where an applicant for a marine farm cannot reach a voluntary agreement with quota holders who may be affected.
The measure allows applicants to ask for an arbitrator to determine what compensation they should pay to the quota holder.
Before that can happen the arbitrator has to determine that the proposed marine farm is of greater economic value to New Zealand than the affected fishing.
A spokeswoman for Heatley said the bill was being heard under urgency because a number of marine farm applications were pending.
The bill is supported by Labour but opposed by the Greens, who say it does not have sufficiently strong environmental protections.