The 25-year-old Dutchman, who became eligible for Scotland on Tuesday after qualifying on the grounds of three years' residency, will line up on the left wing as coach Andy Robinson made two injury-forced changes to the side that beat Australia.
Visser is joined in the side by Max Evans, who will feature on the right wing having missed the last match because his French club Castres would not release him in time.
The pair replace Sean Lamont, who was ruled out by rib damage but may still be able to take a spot on the bench, and Joe Ansbro whose cut eye, picked up in the post-match celebration following the win over Australia, is still causing problems.
There is a chance of further changes to the team as well with a stomach bug doing the rounds, meaning that five players were unable to take a full part in training.
Robinson believes that all will be fit by the weekend but is wary of the risk that others may go down with it.
Robinson dismissed the suggestion that the two wing changes would have happened regardless of injury as "hypothetical".
However, he did accept that Edinburgh flyer Visser, who has been the RaboDirect Pro12 leading try scorer for the last three seasons and was only one touchdown behind Fijian Timoci Matanavou in the race to be Europe's top try scorer, was always likely to win selection for this game.
"It is simple, he has to bring the way he plays for Edinburgh onto the international stage," Robinson said.
"What Tim has to do is bring the support lines that he runs and his ability to score tries. He is very elusive in his ability to beat people and when he has the ball in hand he has the ability to take players on and has to be encouraged to have a real go."
Visser is the only uncapped player in the side, although Ryan Grant, who made his debut in the 9-6 win against Australia, and Matt Scott, who was making his first start in that game, both keep their places. Ross Ford will again captain the team.
"We are are delighted with our win over Australia but also respectful of the fact that conditions played a big part in that," added Robinson.
"It is important that we build on our very good defensive performance with a good attacking performance, as well as defensive.
"The one thing that we know about Fiji is that they hit hard in defence and I'm sure Netani [Talei, the Fijian captain who plays for Edinburgh] will be talking to his team about getting stuck into our players.
"If you think about our attacking game, it was very difficult conditions to show anything in the Australia match so I wanted to give the half-backs that opportunity and Matt Scott, Nick De Luca and Stuart Hogg in the backline that opportunity to be able to show what they can do. I thought our pack played well.
"We have got to be able to put pressure on Fiji in the tackle contest.
"We have also got to play against Fiji in the Scotland style, not Fiji style. That will be important for us, if we try to play sevens against them, we will be beaten by this Fijian team.
"Having watched them play against Samoa and Japan I have been highly impressed with their offloading and running skills."
Scotland team to face Fiji at Churchill Park in Lautoka on Saturday: S Hogg (Glasgow); M Evans (Castres), N De Luca (Edinburgh), M Scott (Edinburgh), T Visser (Edinburgh); G Laidlaw (Edinburgh), M Blair (Edinburgh); R Grant (Glasgow), R Ford (C) (Glasgow), E Murray (Newcastle), A Kellock (Glasgow), R Gray (Glasgow), A Strokosch (Gloucester), R Rennie (Edinburgh), J Barclay (Glasgow).
Replacements to be announced.
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