The main reason for the overall higher tax estimate is the government's decision in April to revise upwards its forecast for gross domestic product growth to 3.5% this year.
The biggest downside risk remains the development of the coronavirus pandemic. The question how quickly the economy can get to normal mainly hinges on the vaccination progress.
Council member Veronika Grimm said the AstraZeneca shot was needed to speed up Germany's already slow vaccination campaign.
The minister said he recognised that lots of businesses were desperate for a prospect of an end to the current lockdown.
The number of new daily infections in Germany has been falling in recent weeks, down to 3,856 on Tuesday, or a national incidence of 59 cases per 100,000.
German Economy Minister Peter Altmaier is due to present the government's official forecast next week. The new number was first reported by Der Spiegel magazine earlier on Friday.
The government introduced a lockdown in November, and tightened measures further in December and January.
Germany has taken increasingly tight measures, such as closing some schools and shops.
If infections failed to ease significantly and current restrictions on economic activity were to persist or even be tightened, there could be a sizeable setback.