However, Glasgow City Council officials have recommended that councillors approve the application 'subject to conditions'.
In an objection to the council, the Glasgow North MP warned that "further intensification" of student accommodation risks "undermining the residential balance and long-term sustainability of the Hillhead community".
The eight-storey, 291-bed development would cover the Lilybank car park as well as the neighboring Lilybank Gardens, behind Ashton Lane and Byres Road.
Objectors say that the loss of 165 designated parking spaces would be detrimental to local businesses and residents.
An artist's impression of the student accomodation plans.
Rhodes remarked: "The site lies within a designated conservation area and the proposed scale has prompted concerns from residents about its compatibility with the architectural character of the surrounding environment.
"There are ways of progressing with housebuilding including student accommodation while also ensuring protection of the environment and nature. However, the proposed development as presented does not set out how it meets these objectives".
A number of local residents have submitted objections to the proposal.
Retired educator Barbara Begg said the project was a 'missed opportunity' for the university.
She wrote: "At a time when we face a climate crisis, every new building in Glasgow should be striving to meet - if not exceed - the highest environmental benchmarks. To construct student accommodation that is not net zero undermines Glasgow's commitments."
Finlay Menzies added: "One of the major constraints for business owners in and around Byres Road is the lack of parking. This building would mean virtually no meaningful parking for visitors.
"It is clear to me as a business owner that those pre-disposed to spend money are generally car owners [and] busy, working people; and taking away car parking will impact area spending considerably."
Your Party councillor Seonad Hoy, who represents Hillhead ward at the council, has also expressed concern over the development.
She wrote: "Hillhead is the oldest part of the outstanding Glasgow West conservation area, and it is important that the history and visual attractiveness of this conservation area are respected.
"I believe this proposal for a 291-bedroom Purpose-Built Student Accommodation (PBSA) to be inappropriate in size and scale for this site."
Councillor Seonad Hoy. (Image: Seonad Hoy)
She added: "If built, it will negatively impact on the vistas experienced by residents in neighbouring properties and on the visual experience of visitors to the area. I believe that this proposal is an overdevelopment of the site and would be detrimental to the character of the conservation area."
However, some residents have spoken in favour of the development.
John Evens said that the "reduction in visitor parking and the improvements to the green space and other public areas will improve the health and vitality of the area", while Scott Galloway remarked that he "strongly supported the removal of the car park".
Galloway added: "Too many cars use Byres Rd and this will support car reduction in the city, and encourage greater use of public transport and active travel, of which there are multiple options."
The site has been owned by Glasgow University since the 1980s, and has been used as a car park for some time.
In October, the university acknowledged that the proposed closure of the "well-established" car park would cause concern but contended that the reduction in car journeys would improve the local environment and air quality.
Their proposal also lays out a plan to improve 'pedestrian accessibility' to Lilybank Gardens and remove existing trees 'in poor health'.
A report presented to the council's planning committee states: "The two student accommodation blocks will be erected on the part of the site currently occupied by Lilybank Car Park.
"The blocks will be separated by a new pedestrian link and public realm route between Ashton Lane and Lilybank Gardens. Hard and soft landscaping will be formed around the blocks.
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"Landscaping works will be carried out to Lilybank Gardens including improving access into the space, introducing routes through the space and new planting, hard surfacing and street furniture."
It continues: "The site is brownfield land in the inner urban area. It is highly accessible by public transport, within the University of Glasgow campus and adjacent to Partick/Byres Road Town Centre.
"The purpose built student accommodation (PBSA) will contribute to the choice of housing available for people in higher education."
Glasgow University has been approached for comment.