Scotland, who have arrived in New Zealand after their training camp on Australia's Gold Coast, will tackle the Mighty Oaks on Saturday.
And with a clash with Georgia following on Wednesday, the proximity of the games means head coach Andy Robinson is likely to utilise almost the entirety of his squad in the two matches.
Scotland will then face Argentina on September 25 game and England on October 1 - and Jackson is keen to throw down an early marker for the No.10 shirt to rival Dan Parks.
Jackson said: "There's a very short turnaround between the two games.
"I've got no idea what Robbo's thinking about that but I presume there are going to be a number of changes for each game.
"Hopefully if I get my chance then I'll grab it."
Glasgow Warriors ace Jackson won the last of his eight caps as a replacement for Parks during the 23-12 World Cup warm-up win over Italy.
Until that clash the Azzurri, Jackson had started four straight Tests after succeeding Parks as Scotland's leading playmaker during the RBS Six Nations.
And although Parks has the experience, having won 62 caps, Jackson is determined to keep his rival at bay.
He added: "Last season I put myself in a good position to try and get that No.10 jersey.
"Parksy's going to put up a bit of a fight and he played very well against Italy - he's put down a bit of a marker.
"I've no idea what's going to happen for the first game, but once I get my chance I'm hopefully going to play well enough to take it."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
$29.99
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.