A number of property companies have floated successfully in recent months as the housing market recovery stoked interest in the sector.
Earlier this month Miller posted a 51% increase in underlying first half profits to £14.2 million, from £9.4m in the same period last year.
Private equity business Blackstone will play a key role in deciding what should happen at the Edinburgh-based group, which may consider a range of options for realising value for shareholders. It acquired a 55% holding in Miller Group through its GSO Capital Partners arm in 2011.
Royal Bank of Scotland, Bank of Scotland and National Australia Bank swapped debt for equity in a major refinancing completed by Miller Group. They hold 37% of the shares in total. Management, including chief executive Keith Miller, have 8% in total.
Asked after the interim results announcement if shareholders had any plans to float the business, Mr Miller said: "GSO is a supportive shareholder and given the progress the group has made we now have a strong base from which to plan for the future development of the business."