U.S. West Texas Intermediate (WTI) crude futures were at $56.68 a barrel at 0407 GMT, virtually unchanged from their last settlement at $56.69.
Brent crude futures, the international benchmark for oil prices, were also little changed, at $62.21 a barrel, up just one cent.
Traders said a stronger dollar, which has gained 0.8 percent this month against a basket of other leading currencies, was weighing on prices
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