The proposed restructuring comes in response to the decision by Mahou San Miguel not to renew its long-term exclusive licence partnership from 2025 and the decline of cask ale volumes over several years.
CMBC said it will be supporting colleagues across its wider network impacted by the proposals, including the 97 employed at Banks's Brewery, and will be working with trade union and colleague representatives throughout the consultation process.
As part of the network restructuring, CMBC added that it will increase investment in its breweries in Northampton and Burton, with a long-term ambition to establish Marston's Brewery in Burton as a national centre for craft beer and traditional ale brewing in the UK.
Bank's Brewery is due to close in autumn 2025.
Paul Davies, chief executive of CMBC, said: "This has been an extremely difficult decision. However, it has been necessary to restructure our business to maintain our competitiveness in a challenging UK beer market.
"The hard reality is that, because of the current climate for ale and Mahou San Miguel's decision not to renew its exclusive production and distribution agreement with CMBC from the start of next year, we will have significant excess capacity across our brewery network which we have to address.
"The team at Banks's has been unwavering in its dedication and commitment to the brewery. We will ensure that we support all our people closely throughout this extremely challenging period.
"While the proposed closure of our Wolverhampton brewery is very regrettable, with the significant investments we are making in our Northampton and Burton breweries, our strong portfolio of brands and industry-leading logistics network, CMBC will continue to deliver for our customers and focus on long-term growth."