Ozempic and related semaglutide drugs represent a popular new strategy to address obesity in the United States, yet uptake of these medications has sparked opposition highlighting concerns about off-label drug use policies, drug safety, supply shortages and cost. Public attitudes towards off-label prescribing by physicians broadly, and towards Ozempic in particular, in light of this opposition are unclear. To better understand public sentiment on this topic, we analysed data from a representative survey of 3,420 US adults conducted from 13 to 22 June 2023. Public attitudes towards off-label prescribing were split, with 46.3 percent supporting physician discretion to prescribe off-label. Importantly though, 58 percent of respondents were at least somewhat concerned about Ozempic supply shortages caused by off-label use and 63 percent were concerned about Ozempic safety in the context of off-label use. Further analysis from an embedded survey experiment shows that rhetoric highlighting safety (but not supply) concerns surrounding off-label Ozempic prescribing is associated with a significant drop in support for off-label use. These results suggest that the introduction of obesity drugs like Ozempic present a pharmaceutical industry-led path for combatting obesity, but rhetoric opposing these drugs could blunt public support and uptake.