Cricket Australia and Cricket Tasmania have written to the state government about the Hobart 23,000-seat waterfront venue - a condition of the state's contract for an AFL licence.
The bodies say the roof design means the stadium is unlikely to be conducive to hosting Test matches and holding one-day and Twenty20 fixtures could be challenging.
"This is not an outcome that either CA (Cricket Australia) or CT (Cricket Tasmania) wants, and CT will be strongly challenged by its members to advocate for an alternate solution," the letter reportedly says.
"For this reason, we would like to discuss with you what opportunity there is to consider a stadium design option that does not have a roof, or that has an operable roof."
The letter raises concerns about the impact of the shadows cast from the roof on the field of play, particularly on the cricket pitch block throughout the day.
A roof on the stadium forms part of the contract signed by the state government with the AFL for entry into the men's league in 2028.
A Cricket Tasmania spokesman said the organisation and Cricket Australia remained supportive of the stadium and want to see it progress.
Under the current design, the stadium includes a transparent fixed dome-shaped roof supported by steel and timber.
The plans say the impact of shadows on the field is an "important consideration" which would be mitigated by using ethylene tetrafluoroethylene pillows to ensure light is spread out.
"Additionally, alignment of the primary structural beams in a north-south direction will provide optimal orientation with respect to the passage of the sun, and will minimise sunlight obstruction and adverse shadows," the plans say.
The lightweight grid roof and pillows mean shadows are "unlikely to have a significant impact on the playing field or broadcasting."
Developers behind the stadium, which is slated to cost $775 million and be completed in 2029, will front a parliamentary inquiry into the project on Wednesday.
The federal Labor government is chipping in $240 million for development at the site, while the AFL is contributing $15 million.
The Liberal state government, contractually liable for any cost overruns, has said private investment would be sought to make up the funding shortfall.
The project is being assessed by an independent planning body which is expected to provide a draft report by the end of March and a final report in September.
It must then be voted through state parliament, including an independent MP-heavy upper house, to get the green light.
Tasmania's Labor opposition supports the stadium but has raised concerns about the Liberal government's financial management.
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