Graeme McDowell's third win of the season in the Alstom Open de France has lifted him up to sixth in the latest world rankings.
McDowell carded a final round of 67 at Le Golf National to win by four shots from South Africa's Richard Sterne and make it three wins and five missed cuts from his last eight events.
On the PGA Tour, Sweden's Jonas Blixt also shot a final round of 67 to win the Greenbrier Classic. He moves from 103rd to 51st in the standings.
Phil Mickelson is the only one of the world's top 10 taking part in this week's Scottish Open at Castle Stuart.
The only other top 10 player choosing to see some competitive action before The Open Championship at Muirfield is Louis Oosthuizen, who contests the PGA Tour's John Deere Classic in Illinois.
Latest world rankings: 1 Tiger Woods (USA) 12.54, 2 Rory McIlroy (NIrl) 8.97, 3 Justin Rose (Eng) 7.93, 4 Adam Scott (Aus) 7.20, 5 Matt Kuchar (USA) 6.42, 6 Graeme McDowell (NIrl) 6.20, 7 Brandt Snedeker (USA) 5.916, 8 Phil Mickelson (USA) 5.910, 9 Luke Donald (Eng) 5.70, 10 Louis Oosthuizen (Rsa) 5.05, 11 Steve Stricker (USA) 4.93, 12 Lee Westwood (Eng) 4.79, 13 Ernie Els (Rsa) 4.753, 14 Sergio Garcia (Spa) 4.752, 15 Charl Schwartzel (Rsa) 4.74, 16 Keegan Bradley (USA) 4.61, 17 Bubba Watson (USA) 4.53, 18 Jason Day (Aus) 4.38, 19 Webb Simpson (USA) 4.31, 20 Ian Poulter (Eng) 4.23