Van Persie sat out the last 10 minutes of Holland's hour-long open training session at Wembley on Tuesday night after aggravating the problem, which he originally suffered in the Gunners' 5-2 win over Tottenham on Sunday.
The Arsenal frontman, who has been in scintillating form this year, appeared in discomfort towards the end of the training session and missed an eight-a-side practice match at England's national stadium in north London on Tuesday night.
The 28-year-old, who has scored 33 goals for club and country this term, is a doubt for Wednesday's game at Wembley, although Van Marwijk was optimistic the striker would feature.
"We will have to wait and see but I don't think it's too serious. I am optimistic he will play," Van Marwijk said.
Arsenal were aware Van Persie had picked up an injury, although they released him for international duty as they thought it was only minor.
Despite Van Marwijk's insistence that the injury does not appear serious, the news will surely prove to be a worrying development for Arsene Wenger, who has heavily relied upon the Dutchman this season.
Van Marwijk has been impressed with how prolific Van Persie has been this year for the Gunners.
"Robin is in great form," said the Holland boss, who may now turn to Klaas Jan Huntelaar to lead the line for the visitors if Van Persie is left out.
"It's a little bit different this season with Robin. He is scoring a lot of goals now. He is now a centre-forward.
"Normally he is a player who plays in combination, with others. He did that with Cesc Fabregas and Samir Nasri but now he plays very deep as a striker.
"He has the quality to score goals."
Holland cruised through their Euro 2012 qualifying campaign, racking up nine wins out of a possible 10 to top their group ahead of Sweden.
England, on the other hand, have endured a troubled run-up to Wednesday's game.
The Three Lions are without a full-time head coach following the resignation of Fabio Capello, they do not have a permanent captain, and their squad has been ravaged by injury.
Interim head coach Stuart Pearce has seen five players - Wayne Rooney, Tom Cleverley, Kyle Walker, Glen Johnson and Darren Bent - pull out of Wednesday's game.
The three strikers Pearce has available have only seven caps between them, but Van Marwijk has vowed not to underestimate the home side on Wednesday evening.
"I am a big fan of England. They were really unlucky against Germany at the World Cup. They were unlucky not to qualify for the semi-finals," Van Marwijk said.
"They have a lot of good, fast, powerful players so we will not underestimate them tomorrow [Wednesday]."
Holland's excellent qualifying campaign for Euro 2012 has been born of a series of impressive fluent attacking displays typical of the 'total football' ethos employed by the legendary Dutch team of the 1970s and 1980s.
The performances have been in complete contrast to the one Holland produced in the 2010 World Cup final in South Africa, when they employed aggressive tactics in an attempt to stop Spain - a move that ended in failure.
Van Marwijk has promised the fans who turn up at Wembley on Wednesday that they will be treated to a splendid display of attacking football.
He added: "The performance is more important than the result for us tomorrow [Wednesday].
"We want to play in the Dutch way. We want to win but it's more important that we are ready when the Euros come around."
Van Marwijk could hand debuts to Ola John and Luciano Narsingh on Wednesday night, but Mark van Bommel is a doubt with a knee injury.