There are only two events remaining in the revised format for the Web.com Tour in 2013.
The top 25 players on the Web.com money list at the conclusion of the Cox Classic on August 25 will earn PGA Tour cards for next season.
They will be joined by another 25 players who earn their way onto the game's most lucrative tour through a new four-tournament playoff concluding with the Web.com Tour Championship on Dye's Valley Course in Ponte Vedra Beach, Florida from September 26-29.
The four-week playoff takes the place of the tour's annual qualifying tournament.
New Zealand has three players inside the top 25 on the money list, with the others Tim Wilkinson (ninth) and Danny Lee (12th).
The Web.com Tour has reported that Wilkinson and Lee have already done enough to qualify for the PGA Tour in 2014 and if Alker can join them it will be close to a return to the heyday of New Zealand golf.
In 2002 New Zealand had five players with full playing rights on the PGA Tour, Craig Perks, Frank Nobilo, Phil Tataurangi, Grant Waite and Michael Long.