A climate-positive COVID-19 recovery can accelerate the energy transition away from fossil fuels. Yet, current assessments of recovery stimulus programs suggest that the world is more likely to take on a 'dirty' recovery path out of the pandemic than a 'green' one. Such a path will postpone climate action and entrench fossil fuel dependence. To change course, fossil fuel producers have to get on board. For this, cooperative international efforts mobilizing both fossil fuel consumers and producers need to promote 'just transition' policies that increase support for a green shift among fossil fuel companies and producing countries, including fossil fuel exporters. In turn, fossil fuel producers should leverage the opportunity of large stimulus packages to reduce their fossil fuel production dependence and increase their contribution to accelerating an energy transition through supply-side measures. A combination of 'green' investments and 'just' transition reforms could help enroll fossil fuel producers into a climate-friendly post-COVID recovery.