Brent crude futures were down 86 cents, or 1.2%, at $72.22 a barrel.
The bullish trend in oil remains intact, thanks to optimism surrounding the demand outlook. The dollar may well be strengthening but the fundamental picture for oil hasn't changed.
Fossil fuel companies, and especially producers in Canada's high-carbon oil sands, face growing pressure from investors and lenders to cut emissions.
Canadian Prime Minister Justin Trudeau has set a goal of dropping national emissions by 40-45% by 2030, and reaching net-zero emissions for the country by 2050.
Brent crude futures were down 30 cents, or 0.4%, at $68.16 a barrel by 1004 GMT, having jumped 3% on Monday. US West Texas Intermediate futures were off 42 cents, or 0.6%, at $65.63 a barrel, after gaining 3.9% the previous session.
Still, the global recovery from the COVID-19 pandemic is patchy, indicating a mixed outlook for oil demand.