Brent futures were up $1.09, or 1.0%, at $112.79 a barrel at 0445 GMT, after hitting its highest since March 30 of $113.80 earlier in the session.
U.S. West Texas Intermediate futures rose $1.00, or 0.9%, to $107.95 a barrel, having gained to as high as $108.55, the highest since March 30.