The recent spikes in oil prices are a significant setback for the world economy, which has already faced multiple challenges due to the COVID-19 pandemic. This is particularly concerning for developing countries as maintaining a sustained growth in real GDP is crucial for lifting their population out of poverty. While the short-run negative macroeconomic effects of a spike in oil prices are well established in the context of the developed world, the long-run growth effect has received little attention, especially in developing countries. Using the World Bank's development indicators database covering the period 1990 to 2020, this study aims to investigate the oil price-growth nexus in low and middle-income net oil-importing countries to shed light on how oil price increases could be a challenge for sustainable development. Specifically, we first set up a theoretical model to establish the relationship between growth in output per capita and oil price. Following the traditional growth regression approaches, we empirically estimate the causal effect of growth in oil prices on the economic growth of 65 net oil-importing developing countries using fixed effect panel IV regression methods. The empirical results confirm statistically significant negative effects of oil prices, indicating that a higher oil price reduces long-run economic growth in oil-importing developing countries. Our results on the other determinants of growth are consistent with the existing empirical growth literature. Oil-importing developing countries, therefore, must allocate resources towards alternative domestic energy sources, in addition to pursuing fuel efficiency and conservation strategies, to mitigate the negative effects of oil price fluctuations on their long-run economic output and uphold sustainable development.