Van Gaal is reportedly preparing a trip to Glasgow to scout the Hoops defender who admits it would be a "dream" to play for his country, whom he has represented at Under-21 level.
However, the 22-year-old, who signed a four-year deal after joining from FC Groningen in the summer for a fee reported to be around £2.5million, is focusing solely on helping the Scottish champions get their first points of their Group H campaign.
Speaking after Celtic's 1-1 Scottish Premiership draw with Hibernian at Easter Road on Saturday, where Paul Heffernan's opener was cancelled out after the break by Hoops substitute James Forrest, Van Dijk said: "I just want to play my own game and not put any more pressure on myself.
"If he (Van Gaal) is coming then it will be great, of course, but I still want to play a good game just for myself and we will see what happens.
"It is definitely a dream to play for the national team.
"There are a lot of good players but I have never been invited for the first team of Holland so I have never had to think about it."
The big Dutchman enjoyed the lunchtime tussle with Hibs even though it left manager Neil Lennon angry at the home side's tactics.
The Northern Irishman, to the surprise of most in the media room, described some of the tackling, among other things, as "shocking" and "reckless" but Van Dijk said: "No, I didn't think it was too physical.
"Some of the challenges definitely (were tough) but we played a very good game.
"We created a lot of chances and we should have scored two or three but we didn't lose, so that was good."
With only Liam Craig and Ryan McGivern of Hibs booked by referee Calum Murray, Lennon's fury was perhaps fuelled by the selection headaches he faces ahead of the Ajax match.
Kris Commons had to be replaced by Forrest in the first half after pulling up with a hamstring problem which will consign him to the sidelines with right-back Adam Matthews, out for three months with a shoulder injury sustained a fortnight ago against Motherwell.
The Hoops will also be without skipper Scott Brown who was handed a three-match ban after getting sent off against Barcelona at Parkhead earlier in the month after flicking a leg out a Neymar.
Lennon confirmed that Celtic will appeal the "excessive" punishment but the automatic one-game ban rules the Scotland midfielder out of the visit of the Dutch side.
However, Van Dijk was more relaxed about the loss of two key midfield players, saying: "They are two very good players but I think we have enough quality in the squad that we can replace them."
Fenlon, who shrugged off Lennon's comments about his side's physicality, was disappointed to lose the goal when McGivern was off the field receiving treatment but acknowledged the quality of Forrest's curling shot with the outside of his foot.
The Irishman said: "We had a warning before the goal because Forrest had given us a few problems.
"We tried to get the message across to send him down the line and defend crosses rather than let him come inside.
"But in fairness to the kid, it was a fantastic finish, he came inside and put in the far side.
"I was disappointed that we were down to 10 men but I can't ask any more of the players, they worked really hard to make sure we got something out of the game."