The aim of the current study was to determine the extent to which Italian people intend to receive a vaccine against SARS-CoV-2 and to investigate its associations with worry, institutional trust and beliefs about the non-natural origin of the virus. A sample of 624 people living in Italy was recruited in April 2020 using an online platform. The survey included questions about intention to receive a vaccine against SARS-CoV-2, trust, worry and beliefs about the origin of the virus. Most respondents (75.8%) intended to receive a vaccine, while 32 (5.1%) and 63 (10.1%) participants responded 'No' and 'I do not know', respectively. The remaining participants (9.0%) chose not to respond to this question. Controlling for socio-demographic factors, a multinomial logistic regression model revealed that no intention to receive a vaccine was associated with lower levels of worry and institutional trust, while increased odds for responding 'do not know' were found among participants holding beliefs about the non-natural origin of the virus. Vaccine acceptance may not be sufficient to establish a high level of herd immunity and a successful implementation of new pandemic vaccination programs should take into account trust, conspiracy beliefs and worry.