Benchmark Brent crude was up $1.24 cents at $44.52 by 1337 GMT, on track for its biggest daily rise since mid-June at around 3%. West Texas Intermediate (WTI) gained $1.26 to reach $42.07, its highest daily rise this month at around 3.1%.
Prices were buoyed by an agreement among European Union leaders on a 750 billion euro ($859 billion) fund to prop up their coronavirus-hit economies, lifting prospects for fuel demand.
In other financial markets, world shares and the euro also hit their highest in several months on Tuesday. The dollar, in which most oil contracts are priced, fell to its lowest since March against a basket of currencies.
The EU deal allows the European Commission to raise billions of euros on capital markets on behalf of all 27 states, an unprecedented act of solidarity in almost seven decades of European integration.
Oil prices were also supported by promising coronavirus vaccine data released on Monday, raising confidence that a vaccine may be created even if a global rollout will take time.
In China, some cinemas reopened on Monday after a six-month closure, another sign of recovery in the world’s second-largest economy.
Countries from the United States to India are reporting record numbers of coronavirus infections, while others such as Spain and Australia are battling new outbreaks.
In the first big energy deal since the coronavirus crushed fuel demand, Chevron Corp said it would buy Noble Energy Inc for about $5 billion in stock.
U.S. crude oil stockpiles were seen falling last week, while inventories of refined products are also likely to have dropped, a preliminary Reuters poll showed on Monday.
Industry-compiled U.S. crude stockpile data is due at 2030 GMT, while government data is due on Wednesday.