U.S. crude prices managed to settle higher on Tuesday amid worries about growing U.S. supplies, while benchmark prices hoovered around the psychologically important $80 a barrel mark.

"The theme remains the same in oil: We have no meaningful way to cut production and the multi-year lows in prices that we're hitting are feeding the hunt for even lower bottoms," said Gene McGillian, senior analyst at Tradition Energy in Stamford, Connecticut.