Levy is up 36 places to a career-best ranking of 74th after coming out on top at the Portugal Masters.
The tournament was reduced to 36 holes as a result of heavy rain in Vilamoura, with France's Levy finishing three shots clear of Nicolas Colsaerts to land his second European Tour title.
Bae, meanwhile, claimed a wire-to-wire success at the Frys.com Open and has made a significant move in the rankings as a result.
Having begun last week's PGA Tour event as the world number 195, the South Korean is now ranked 90th - his highest position since June 2013.
There has been little else in the way of significant movement, with Matt Kuchar the only player inside the top 10 to play last week.
Kuchar finished in a tie for 21st at the Frys.com Open and remains ninth in the rankings.