Brent crude futures gained 48 cents, or 0.5 percent, to reach $105.25 a barrel as of 01:04 GMT.
US West Texas Intermediate (WTI) crude went up 47 cents, also 0.5 percent, to $96.93.
The gains came after oil settled lower on Monday, according to market data.
Brent futures had settled $8.66, or 7.63 percent, lower, at $104.77 a barrel on Monday.
