Multi Development has confirmed it will conduct a review of the architect's designs to see if the scheme could be improved in any way.
Heritage groups have opposed the scheme ever since Multi announced it would be redeveloping the area, and have been particularly vociferous over Wilkinson Eyre's plans for a replacement to an Art Deco-style building called Churchill House.
The news of a possible change in the designs could go some way towards appeasing local opposition.
Speaking to the Bath Chronicle, Multi UK managing director Paul Sargent said he would be looking at Wilkinson Eyre's designs, adding that there may be room for 'reinterpretation'.
He said: 'All our team and consultants will pick up the plans and drawings, go through all the elements of it and see if there is an way we can enhance or improve it.'
Last month the scheme was attacked by prominent councillors, including Liberal Democrat chairman Ian Thorn, who claimed the proposed project was 'inappropriate for a World Heritage City'.